There is not sufficient evidence to conclude that the candidate's popularity has changed.
According to the given information, a telephone poll was conducted early in the election campaign, which showed that out of 800 registered voters, 460 favour a particular candidate. Later, just before election day, a second poll was conducted, which showed that out of 1000 registered voters, 520 now favour that candidate.
To determine if there is sufficient evidence that the candidate's popularity has changed, we need to perform a hypothesis test using the 5% significance level.
Let's set up the null and alternative hypotheses:
Null hypothesis (H₀): The candidate's popularity has not changed.
Alternative hypothesis (Hₐ): The candidate's popularity has changed.
We can use the proportion test to analyze this situation. The test statistic for the proportion test is calculated using the formula:
z = (p - p0) / √(p0(1 - p0) / n)
Where:
p is the sample proportion (520/1000 = 0.52)
p0 is the hypothesized proportion (460/800 = 0.575)
n is the sample size (1000)
Now, let's calculate the test statistic:
z = (0.52 - 0.575) / √(0.575(1 - 0.575) / 1000)
z = -0.055 / √(0.575 * 0.425 / 1000)
z ≈ -0.055 / √(0.244625 / 1000)
z ≈ -0.055 / √0.244625 * 1000
z ≈ -0.055 / 15.649
z ≈ -0.0035
To determine if there is sufficient evidence to reject the null hypothesis, we compare the test statistic (-0.0035) with the critical value at the 5% significance level.
Since the test statistic is not more extreme than the critical value, we fail to reject the null hypothesis. So, nothing concrete can be said about the change.
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Alice graphs the relationship between x, the number of years an athlete has been playing basketball, and y, their average number of baskets per game. Her graph goes through the points (8, 8) and (4, 5). Which equation represents the graph?
Answer: (8,8)
Step-by-step explanation: because, you just need to do the math
The equation of line is y = ( 3/4 )x + 2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( 8 , 8 )
Let the second point be Q = Q ( 4 , 5 )
Now , the slope of the line between the two points is
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - 8 ) / ( 4 - 8 )
Slope m = -3/-4
Slope m = 3/4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 8 = 3/4 ( x - 8 )
On simplifying the equation , we get
y - 8 = ( 3/4 )x - 6
Adding 8 on both sides of the equation , we get
y = ( 3/4 )x + 2
Therefore , the value of A is y = ( 3/4 )x + 2
Hence , the equation of line is y = ( 3/4 )x + 2
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HELP PLEASE WILL MARK BRAINLIEST. Leo walk 7km outh then 12km eat. How far i he from the tarting point
Leo is approximately 13.928 km away from the starting point.
Given that Leo walked 7 km south and then 12 km east, we need to determine the distance from the starting point,
To determine the distance from the starting point, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the distance Leo walked south forms one side of a right triangle, and the distance he walked east forms the other side. The distance from the starting point will be the length of the hypotenuse.
Using the Pythagorean theorem, we can calculate the distance from the starting point as follows:
Distance² = (7 km)² + (12 km)²
Distance² = 49 km² + 144 km²
Distance² = 193 km²
Taking the square root of both sides gives us:
Distance = √(193)
Distance ≈ 13.928 km
Therefore, Leo is approximately 13.928 km away from the starting point.
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Complete question =
Leo walk 7km south then 12km east. How far is he from the starting point?
Explain why (-1)^51 is -1 and why (-1)^50 is 1.
Step-by-step explanation:
because when the exponent is an odd number a negative number stays negative
and when the exponent is an even number the sign changes and a negative number becomes positive
answer quickly please
Answer:
1:0.5
Or
2:1
Step-by-step explanation:
the left side we can find distance by just counting the units without using a formula
Bigger shape LP Length is 5
Smaller shape WZ length is 2.5
Since the shape was originally bigger then this will be a fraction so we divide 2.5 by 5
2.5/5
1/2
Or
0.5
ratio it to make 1:0.5
Hopes this helps please mark brainliest
196 1/12 minus 13 9/12
Answer:
Hello!
___________________-
196 1/12 - 13 9/12 = 547/3
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you!
Answer:
547/3 I think :>
Step-by-step explanation:
The "Daisy Ad" for President Johnson's 1964 presidential campaign (credited as an important factor in Johnson's landslide victory over Batty Goldwater,) aired how many times?
The "Daisy Ad" for President Johnson's 1964 presidential campaign (credited as an important factor in Johnson's landslide victory over Batty Goldwater,) aired only once.
The "Daisy Ad" is a famous political advertisement that aired during the 1964 presidential campaign between President Lyndon B. Johnson and Senator Barry Goldwater. It is widely recognized as a highly impactful and influential advertisement. Despite its significant impact, the ad was actually broadcasted only once.
The ad featured a little girl counting the petals of a daisy before transitioning to a nuclear explosion, symbolizing the potential consequences of electing Goldwater as president. The ad aimed to evoke fear and concern about the possibility of nuclear war, ultimately contributing to Johnson's landslide victory in the election.
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A rectangular box with a volume of 60x^(6)y^(6)z^(10) width of 2x^(2)y^(3)z^(4) length of 10x^(3)y^(4)z^(5) units and a height, 2x^(2)y^(3)z^(4) units. Write an expression for its height
The expression for the height of the box is 3x^(1)y^(-1)z^(1) units.
The volume of a rectangular box is given by the formula V = lwh, where l is the length, w is the width, and h is the height. We are given the volume, width, and length of the box and we are asked to find the expression for its height.
Volume = 60x^(6)y^(6)z^(10)
Width = 2x^(2)y^(3)z^(4)
Length = 10x^(3)y^(4)z^(5)
Substituting the given values into the formula for volume, we get:
\(60x^{(6)}y^{(6)}z^{(10)} = (2x^{(2)}y^{(3)}z^{(4))}(10x^{(3)}y^{(4)}z^{(5))(h)\)
Simplifying the right side of the equation, we get:
60x^(6)y^(6)z^(10) = 20x^(5)y^(7)z^(9)(h)
Dividing both sides of the equation by 20x^(5)y^(7)z^(9), we get:
h = (60x^(6)y^(6)z^(10))/(20x^(5)y^(7)z^(9))
Simplifying the fraction, we get:
h = 3x^(1)y^(-1)z^(1)
Therefore, the expression for the height of the box is 3x^(1)y^(-1)z^(1) units.
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Can you solve this. I have waste 60 pts on this.
I need only 11, 12 and 13( a,b,c answer.
:)
give me all of these answer
Answer:
11
Step-by-step explanation:
you can find the area of the cube and convert it to liters, if the area if the cube is more than the amount of soil then the soil is less, if the amount of soil is more than area of the cube then u have more soil and if they're both the same u have the perfect amount of soil
solve the equation INCLUDE THE FORMULA x - 5 = 3 - 5x + 3x + 4
Answer:
x = 4
Step-by-step explanation:
x-5 = 3-5x+3x+4 x = 3-5x+3x+4+5 x = 3-5x+3x+9x = -5x+3x+12x+5x =3x+12 6x =3x+126x-3x = 12 3x = 12x = 12/3x = 4the extent to which a reesearcher's sample is representative of the population that it was drawn from is called
The extent to which the researcher can refer that findings with a sample from which it was drawn is referred to as generalizability.
Generalizability refers to the ability to extrapolate study findings from a sample to the entire population. It also refers to the capacity to apply findings from one study to a similar environment in a different investigation.
Generalizability and transferability are two research traits that are related. When considering generalizability in research, there are two features or dimensions to consider: generalizability as it relates to the specific population on which the research is conducted, and generalizability on a global scale.
Such studies will be easier to generalize if the researcher uses adequate sampling approaches, sample sizes, and exact processes.
In general, a study has strong generalizability when the findings apply to a wide range of persons or situations. The study has weak generalizability if the results can only be applied to a subset of the population or in a very specific circumstance.
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Is this right? If not let me know and explain how if u can.
(No link <3)
Answer:
9/35
Step-by-step explanation:
There are a total of 15 bulbs to choose from randomly. First a new bulb is chosen. Chance is 9/15 because 9 out of 15 are new.
Then there are only 14 bulbs left. Then a used bulb is chosen. Chance is 6/14 since 6 out of remaining 14 are used.
Total chance for this to happen is 9/15 * 6/14 = 54/210 = 9/35.
Look at the picture please
Answer:
3rd one
Step-by-step explanation:
Range goes to the y-values
The y values are 16 19 and 16
So the range will be (16,19)
Which graph shows the solution to the system of linear inequalities below?
y 2x+1
y <-2x-3
A. Graph B
B. Graph A
C. Graph
D. Graph D
A study investigated rates of fatalities among patients with serious traumatic injuries. Among 61,909 patients transported by helicopter, 7813 died. Among 161,566 patients transported by ground services, 17,775 died (based on data from "Association Between Helicopter vs Ground Emergency Medical Services and Survival for Adults With Major Trauma," by Galvagno et al., Journal of the American Medical Association, Vol. 307, No. 15). Use a 0.01 significance level to test the claim that the rate of fatalities is higher for patients transported by helicopter. a. Test the claim using a hypothesis test. (15 points) b. If you were to follow up the hypothesis test performed in part a with a confidence. interval, what would be the appropriate confidence level to use? (3 points) Paragraph v B I U A V V ***
Thee appropriate confidence level to use would be 95%. The rate of fatalities is higher for patients transported by helicopter than those transported by ground services. Furthermore, we have also determined the appropriate confidence level to use if we follow up the hypothesis test with a confidence interval.
Here, Null Hypothesis H0: The rate of fatalities for patients transported by helicopter is less than or equal to that transported by ground services. Alternative Hypothesis H1: The rate of deaths for patients transported by helicopter is more than that transported by ground services.
a) Given that :
n1 = 61909,
n2 = 161566,
x1 = 7813
x2 = 17775.
The sample proportions are p1= x1 / n1= 0.126 and p2 = x2 / n2= 0.11.
The pooled proportion is:
p = (x1 + x2) / (n1 + n2)
= (7813 + 17775) / (61909 + 161566)
= 0.11012.
The test statistic for testing the null hypothesis is given by:
z = (p1 - p2) / SE (p1 - p2) where
SE(p1 - p2) = √ [p (1 - p) (1 / n1 + 1 / n2)]
SE (p1 - p2) = √ [(0.11012) (0.88988) (1 / 61909 + 1 / 161566)]
SE (p1 - p2) = 0.0025
z = (0.126 - 0.11) / 0.0025
z = 6.4
At a 0.01 significance level, the critical value for the right-tailed test is:
z = 2.33
We reject the null hypothesis since the test statistic is greater than the critical value. So, there is enough evidence to support the claim that the rate of fatalities is higher for patients transported by helicopter than those transported by ground services.
b) As we have rejected the null hypothesis, we can say that the proportion of patients transported by helicopter who died due to severe traumatic injuries is significantly higher than that of patients transported by ground services. To find the appropriate confidence interval, we need to know the sample size, the sample proportion, and the confidence level to find the margin of error. So, to answer the question, we need to know the desired confidence level. The appropriate confidence level would be 95%.
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An octagon has all equal side lengths and angle measures. a point is at the center of the octagon. what is the smallest angle of rotational symmetry for the regular octagon? °
There is a regular octagon with n = 8 sides. The minimum rotational symmetry angle is,
= 360/n
= 360/8
= 45 degrees.
Rotating this amount does not change the regular octagon. The front and back look the same.
Suppose that we are given a regular polygon with N sides, the angles of rotational symmetry are:
A = n * 360° / N
where n can take values = 1, 2, N, and there are N different angles. It is the minimum rotational symmetry when n equals 1.
So, in this case,
A = 360 / N , R = 30°
And we want to find the number N.
30° = 360° / N
N = 360° / 30°
N = 12
This means that a regular polygon has 12 sides.
12 Upright Step by step:
360° ÷ 8 = 45°
8 because the octagon has 8 sides.
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Answer:
45 Degrees
Step-by-step explanation:
just answered <3
A package of 6 pairs of insulated socks cost 49.74 What is the unit price of the pairs of socks?
write an equation of the line that passes through the points (0,3) and (2,11) y=?
Answer:
y=4x+3
Step-by-step explanation:
find the slope using y2-y1/x2-x1
11-3/2-0
simplify
8/2
simplify
4
find b by using the equation y=mx+b
since we know 4 is the slope, plug it in for m
plug an ordered pair into y=4x+b
3=4(0)+b
3=b
plug b in y=4x+b
y=4x+3
Citrix Apps Apps CANVAS > Home EPB Intranet 7. -/2 points RogaCalcET4 13.5.017.Tutorial. Find r(t) and v(t) given a(t) and the initial velocity and position. a(t) = tk, v(0) = 4i, r(0) = 2; v(t) = r(t) = Additional Materials Tutorial +-12 points RogaCalcETA 19 rann
The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.
Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.
a = dv/dt
We have the following informations are available,
Initial velocity, v(0) = 4i
Initial position, r(0) = 2j
Acceleration at any time "t",
a(t) = tk
we have to determine the value of v(t) and r(t).
As we know, a(t) = dv(t)/dt = tk
integrating the above equation ,
v(t) = ∫tk dt = ( t²/2 )k + c
at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i
=> c = 4i
So, v(t) = ( t²/2 )k + 4i
Also, velocity is calculated by derivative of postion (r) with respect to time.
=> v(t) = dr(t) /dt
=> r(t) = ∫ v(t) dt
=> r(t) = ∫ ( t²/2 )k dt
integrating value of the right hand side,
r(t) = ( t³/2×3 )k +d
= (t³/6)k + d
At t = 0, r(0) = (0/6)k + d
=> r(0) = d = 2j
so, r(t) = (t³/6)k + 2j
Hence, the required position and velocity are
(t³/6)k + 2j and ( t²/2 )k + 4i.
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Pls help me asap...!!
Answer:
m(<M) > m(<N)
Step-by-step explanation:
Answer:
m<M < m<N is right one.hope it helps
Someone help me please
Answer:
good luck
Step-by-step explanation:
a researcher is interested in whether a significant trend exists regarding the popularity of certain music played at restaurants. a random sample of 50 customers from each of three restaurants is selected. the customers are asked to indicate which of three music types: country, jazz, and classical they preferred. the degrees of freedom used to find the table critical value would be
According to the chi square test, yes and at alpha 0.05 there is a significant difference in music preferred by the three restaurants' customers.
The term chi square test refers a statistical hypothesis test used in the analysis of contingency tables when the sample sizes are large.
Here we have given that a researcher is interested in whether a significant trend exists regarding the popularity of certain music played at restaurants. a random sample of 50 customers from each of three restaurants is selected. the customers are asked to indicate which of three music types: country, jazz, and classical they preferred
And we need to find results deviate significantly from what would be expected due to chance.
While we reading the given question, we know that a researcher is interested in whether a significant trend exists regarding the popularity of certain music played at restaurants.
And the number of samples = 50
When we convert it into the percentage then we get,
=> 50/1000
=> 0.05
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What is equal to the equation
Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.
The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
How to calculate for the area of the polygonArea of regular polygon = 1/2 × apothem × perimeter
perimeter = (s)side length of octagon × (n)number of side.
apothem = s/[2tan(180/n)].
11 = s/[2tan(180/12)]
s = 11 × 2tan15
s = 5.8949
perimeter = 5.8949 × 12 = 70.7388
Area of dodecagon = 1/2 × 11 × 70.7388
Area of dodecagon = 389.0634 in²
Area of pentagon = 1/2 × 5.23 × 7.6
Area of pentagon = 19.874 in²
Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
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because x is an unbiased estimator for μ
A unbiased estimator is a statistic that accurately reflects the population mean, μ. A statistic is unbiased when the mean of its sampling distribution is equal to μ.
Mathematically, this can be expressed as:
E(x) = μ
Where E(x) is the expected value of x and μ is the population mean.
This means that if we take a sample from a population and calculate the mean from that sample, the expected value of that mean should be equal to the population mean. This can be seen in the following example:
Let's say we have a population with a mean of 30. We take a sample of size 5 from this population and calculate the sample mean, x. The expected value of x should be equal to 30. We can calculate this using the formula:
E(x) = ∑xi/n
Where xi are the values in the sample and n is the sample size.
For our example, E(x) = (30 + 30 + 30 + 30 + 30) / 5 = 30
This shows that x is an unbiased estimator of μ.
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Which translation will change figure ABC to figure A'B'C'?
A coordinate plane is shown. Figure ABC is composed of coordinates A, negative 4 comma negative 1, B, negative 1 comma negative 1, C, and negative 2 comma negative 3. Figure A prime, B prime, and C prime is composed of coordinates A prime, 0 comma 2, B prime, 3 comma 2, C prime, 2 comma 0.3 units right and 3 units up
4 units right and 3 units up
4 units right and 4 units up
4 units left and 3 units down
please help!!!!
Answer:
the answer is c
Step-by-step explanation:
im dumb don't listen but I know you will figure it out if you use you brain and you notes ; )
PLEASSSSSEEE HELPPP ASPPP PLEASEEE
Answer:
x=1
i hope this helps!
Step-by-step explanation:
x+2/-1 =3
x+2 (1) =3
x+2 = 3
x=1
A package of 4 pairs of insulated gloves costs $21.56. What is the unit price of the pairs of gloves?
Answer:
Your answer is $5.39.
Step-by-step explanation:
There are 4 pairs of gloves. The unit price is only for a single pair of gloves, so divide the total cost by the pairs of gloves to get your answer: 21.56 ÷ 4 = 5.39. (Also, since we are talking about money, there would be a dollar sign next to 5.39: $5.39)
GIVEN LAGRANGIAN LD=ψˉ(i−m)ψ−iψˉ∂μψψˉ∂μψ/ψˉψ WHERE THE AUXILIARY FIELDS ARE Am∝ψˉψ,λm∝∂μψ AND λ∝ψˉψ DEtERMINE THE EQUATION OF MOTION AND THE EFFECTIVE ACHION.
The equation of motion is given by ∂LD/∂ψ - ∂(∂LD/∂(∂μψ))/∂μ = 0, and the effective action is obtained by integrating the Lagrangian over space and time: S_eff = ∫∫∫∫ LD d^4x.
To determine the equation of motion and the effective action for the given Lagrangian, we can follow these steps:
Calculate the Euler-Lagrange equation by taking the variation of the Lagrangian with respect to the field ψ and its conjugate ψˉ:
∂LD/∂ψ - ∂(∂LD/∂(∂μψ))/∂μ = 0
Compute the derivative term ∂(∂LD/∂(∂μψ))/∂μ using the given Lagrangian:
∂(∂LD/∂(∂μψ))/∂μ = ∂(iψˉ∂μψ)/∂μ = i∂μ(ψˉ∂μψ)
Substitute the derivative term and the Lagrangian into the Euler-Lagrange equation and simplify to obtain the equation of motion.
To find the effective action, integrate the Lagrangian over space and time:
S_eff = ∫∫∫∫ LD d^4x
By following these steps, you can determine the equation of motion and the effective action for the given Lagrangian.
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what is the Lcm of 5 and 20
Answer:
♦LCM of 5 and 20 is 20.
Explanation:#Let's Study
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Let {a n
} n=1
[infinity]
and {b n
} n−1
[infinity]
be positive sequences such that for all n≥1, we have a n
≤ x
1
≤b n
. What can we conclude? For ∑ n=1
[infinity]
a n
For ∑ n=1
[infinity]
b n
Given the positive sequences {a_n} and {b_n} such that a_n ≤ x ≤ b_n for all n ≥ 1, we can conclude that the series ∑ a_n and ∑ b_n both converge.
Since a_n ≤ x ≤ b_n for all n ≥ 1, it means that the terms of the sequence {a_n} are bounded from above by x and the terms of the sequence {b_n} are bounded from below by x.
By the Comparison Test for series, if we have a series with non-negative terms and there exists another series with non-negative terms such that each term of the first series is less than or equal to the corresponding term of the second series, then if the second series converges, the first series also converges.
Applying this concept to the series ∑ a_n and ∑ b_n, since a_n ≤ x ≤ b_n for all n ≥ 1, and we know that x is a constant value, it implies that ∑ a_n and ∑ b_n both converge.
Note that this conclusion assumes the positive sequences {a_n} and {b_n} are bounded and well-defined.
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