of the 124 students, 85 selected a three-grill display that was consistent with this theory. use this information to test the theory proposed by the researcher at a = .05.
Answers
To test the theory proposed by the researcher using the given information, we need to set up a hypothesis test. Let's define the null and alternative hypotheses:
Null Hypothesis (H0): The theory proposed by the researcher is true.Alternative Hypothesis (Ha): The theory proposed by the researcher is not true.Next, we need to determine the test statistic and the critical value based on the significance level (α) of 0.05.
The test statistic in this case is the z-score.
To perform the hypothesis test, we need the following information:
- Number of students: n = 124
- Number of students selecting a three-grill display: x = 85
Now, let's calculate the test statistic (z-score) using the formula:
x = (x - np) / sqrt(np(1 - p))
Where:
- p is the hypothesized proportion (under the null hypothesis), which is consistent with the theory proposed by the researcher. We do not have the specific value of p in the question, so we assume p to be 0.5 for testing purposes since we have no prior information.
- np is the expected number of students selecting a three-grill display under the null hypothesis, which is np = n * p.
- sqrt(np(1 - p)) is the standard deviation of the proportion.
Let's calculate the z-score:
p = 0.5
np = 124 * 0.5 = 62
sqrt(np(1 - p)) = sqrt(62 * 0.5 * 0.5) = sqrt(15.5) ≈ 3.937
x = 85
z = (x - np) / sqrt(np(1 - p))
z = (85 - 62) / 3.937
z ≈ 5.84
Now, we compare the calculated z-score to the critical value at the significance level of α = 0.05. Since it is a two-tailed test, we need to find the critical z-values that cut off 2.5% from the upper and lower tails of the standard normal distribution.
The critical z-value for α/2 = 0.05/2 = 0.025 is approximately 1.96.
Since the calculated z-score of 5.84 is larger than the critical z-value of 1.96, we can reject the null hypothesis.
Therefore, based on the given information and using a significance level of α = 0.05, we can conclude that the theory proposed by the researcher is not supported.
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Related Questions
6. What's the Error? Abram said the table at the right
does not show a function. Explain the error.
Answers
HELP
Rita spun a spinner 100
times and the results are shown in the following table.
Rita's friend Pamilla models Rita's experiment by drawing a spinner with three equal sections labeled 1, 2, and 3.
Is the spinner Pamilla drew a good model for Rita's experiment? Why or why not?
Responses
Yes, there are three numbers and three sections.
No, the three events are not equally likely to occur.
Yes, all spinners should have equal sections.
No, the spinner should have more than three sections.
Answers
Answer:
I would say A. Yes, there are three numbers and three sections.
Step-by-step explanation:
The spinner that Pamilla drew is a good model because most of the spinners have 3 equal sections, not all.
Answer:
No, the three events are not equally likely to occur.
Step-by-step explanation:
I just had this question in a quiz so I know it's right. But fyi you should've added the table with the results so ppl know it's not equal.
a car's wheels are 24 in. in diameter. how far (in mi) will the car travel if its wheels revolve 10,000 times without slipping? (round your answer to two decimal places). incorrect: your answer is incorrect. mi
Answers
The car will travel approximately 11.829 if its wheels revolve 10,000 times without slipping.
First, we need to find the circumference of the wheel, which is given by the formula:
circumference = pi x diameter
where pi is approximately equal to 3.14.
So, the circumference of the wheel = 3.14 x 24 = 75.36 inches.
Next, we need to find the distance traveled by the car in one revolution of the wheel, which is equal to the circumference of the wheel.
Distance traveled by the car in one revolution of the wheel = 75.36 inches = 0.0011829 miles (1 inch = 0.000015783 miles).
Therefore, the distance traveled by the car in 10,000 revolutions of the wheel = 0.0011829 x 10,000 = 11.829 miles.
Rounding this answer to two decimal places, we get the final answer as approximately 11.829.
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A fruit stand has to decide what to charge for their produce. They need \$5. 30$5. 30dollar sign, 5, point, 30 for 111 apple and 111 orange. They also need \$7. 30$7. 30dollar sign, 7, point, 30 for 111 apple and 222 oranges. We put this information into a system of linear equations. Can we find a unique price for an apple and an orange?.
Answers
Henry’s insurance claim for the $2,500 auto transmission replacement on his 15-year-old car was rejected because of the___exclusion.
A.) illegal activity
B.) prior events
C. Maintenance
D.) non-accident
Answers
Henry's insurance claim for the $2,500 auto transmission replacement on his 15-year-old car was rejected because of the maintenance exclusion. So, C is the correct option.
Insurance policies typically have exclusions to limit their liability in certain situations. In this case, the maintenance exclusion applies because it pertains to the general upkeep and wears and tear of a vehicle, which is the responsibility of the car owner.
The other options, such as illegal activity and prior events, do not fit the context of the question. Illegal activity refers to an exclusion in which the insurance company would not cover damages resulting from the policyholder's participation in unlawful acts.
Prior events exclusion refers to a situation where the insurance company would not cover damages that occurred before the policy's effective date. The non-accident exclusion is not applicable in this context, as it is not a standard insurance term.
In summary, Henry's claim for the auto transmission replacement was rejected due to the maintenance exclusion, as it is considered a normal part of the car owner's responsibility to maintain their vehicle, and not an unexpected event that insurance would typically cover. Hence, C is the correct option.
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Adalyn has nine more than twice the number of skittles than Morgan has. If twice the number of skittles that Adalyn has is two more than five times the number of skittles that Morgan has, how many does each girl have?
Answers
Plz help me someone
Answers
Answer: A.50 B.32
Step-by-step explanation:
I added then rounded them
You must decide whether to buy new machinery to produce product X or to modify existing machinery. You believe the probability of a prosperous economy next year is 0.7. Prepare a decision tree and use it to calculate the expected value of the buy new option. The payoff table is provided below (+ for profits and - for losses).
When entering the answer, do not use the $ symbol. Do not enter the thousand separator. Enter up to 2 decimal places after the decimal point. For example, $6,525.35 must be entered as 6525.35
N1: Prosperity ($) N2: Recession ($)
A1 (Buy New) $1,035,332 $-150,000
A2(Modify) $823,625 $293,648
Answers
The expected value of the "Buy New" option is 724732.60.
Decision Tree:
To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:
Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:
Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)
Substituting the given values in the above formula, we get:
Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60
Therefore, the expected value of the "Buy New" option is 724,732.60.
Conclusion:
To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.
The expected value of the "Buy New" option is 724,732.60.
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plz help!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
5√3
Step-by-step explanation:
Use Pythagoras' Theorem
10² - 5² = 75
√75 = 5√3 units
4b) Solve each equation.
Answers
Answer:
x = 6
Step-by-step explanation:
Given equation,
→ 5x + 6 = 2x + 24
Now we have to,
→ Find the required value of x.
Then the value of x will be,
→ 5x + 6 = 2x + 24
→ 5x - 2x = 24 - 6
→ 3x = 18
Dividing RHS with number 3:
→ x = 18/3
→ [ x = 6 ]
Hence, the value of x is 6.
Errrrrrrrrrrrrrrrrr
Answers
Answer:
st and wx
Step-by-step explanation:
bc they are on oppostite sides
The ratio of kids to adults in a dollar store is 2:1. Suppose there is a total of 50 kids to adults. How many kids are there?
Answers
i need help on this question
Answers
Answer:
the first one
Step-by-step explanation:
______1. One side of a rectangle is 3m more than the other. If the perimeter of the rectangle is 30 m, what are its dimensions? L= 4m and W= 7m C. L= 6m and W= 9m L= 5m and W= 8m D. L= 7m and W= 10m
Answers
Answer:
6m by 9 m
Step-by-step explanation:
x = one side of the rectangle
x+3 = other side
The perimeter of a rectangle is
P = 2(l+w)
P =2( x+ x+3)
P = 2(2x+3)
30 = 4x+6
30 -6 = 4x
24 = 4x
Divide by 4
24/4 = 4x/4
6 =x
One side is 6 and the other is 6+3 or 9
There are 125 Grade 8 learners, and the ratio of boys to girls 3:2. Calculate how many boys and girls are in grade 08
Answers
Answer:
boys-75,
Step-by-step explanation:
the ratio is 3:2 and the total ratio is 5, which stands for total learners in grade 8
boys;
3/5×125= 75
girls;
2/5×125= 50
I need help question in picture
Answers
π (8.5)2
Area= 226.98
it's is A= pi x r x 2^
diameter is 17 divide by two is the radius
3.14 x 8.5 x 8.5 is 226.865
are you given enough information to determine whether the quadrilateral is a parallelogram? explain your reasoning.
Answers
There is a enough information to determine whether the quadrilateral is a parallelogram
As we observe the quadrilateral the pairs of opposite sides in a parallelogram are parallel.
This means that they have the same slope and will never intersect, even if extended indefinitely.
The lengths of the opposite sides in a parallelogram are equal.
This property distinguishes a parallelogram from a general quadrilateral.
The pairs of opposite angles in a parallelogram are congruent.
This means that they have the same measure, making them equal in size.
The given figure is a parallelogram as it satisfies all the properties of parallelogram.
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What is the percentge change from a 3/8 to a 7/8
Answers
Explanation:
7/8 = .875 and 3/8 = .375
.875/.375 = 2.33 repeating
To convert to percentage you’d do 2.33 * 100 which would be 233.33%
set equation for the following:
three times a number divided by five is equal to 20
pls urgent will mark u the brainliast !!
Answers
Answer:
girls join Google meet for fun jbf-pziu-hus
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A number :
\(x\)
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Three times of it means :
\(3x\)
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Divided by 5 :
\( \frac{3x}{5} = \frac{3}{5} x \\ \)
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Equals to 20 :
\( \frac{3}{5} x = 20 \\ \)
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Now let's see what that number is ;
To find we need to solve the above equation for x .
Let's do it...
\( \frac{3}{5} x = 20 \\ \)
Multiply sides by 5
\(5 \times \frac{3}{5} x = 5 \times 20 \\ \)
\(3x = 100\)
Divided sides by 3
\( \frac{3}{3} x = \frac{100}{3} \\ \)
\(x = \frac{100}{3} \\ \)
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Find the slope of the line y = 6/5x + 3. Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
6/5
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept.
Which expression represents the total perimeter of the two figures?
20x
4x2 + 9x – 5
13x + 4
25x – 5
Answers
Answer:
what are the figures looking like
What is something or someone you value?
Answers
11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.
Answers
The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -≤ : less than or equal to
≥ : greater than or equal to
< : less than
> : greater than
≠ : not equal to
Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].
We can write the inequality as follows -1400 + 243 + w ≤ 2000
w + 1643 ≤ 2000
Solving the inequality, we get -w + 1643 ≤ 2000
w ≤ 2000 - 1643
w ≤ 357
Refer to the graph attached.Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
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Kate wants to install an in ground pool in five years. she estimates the cost will be $50,000. how
much should she deposit monthly into an account that pays 1.6% interest compounded
monthly in order to have enough money to pay for the pool in 5 years? round your answer to
the nearest dollar.
Answers
Answer:
Step-by-step explanation:
Kate should deposit $46,158.28 monthly into an account
In this question, we have been given the amount A = $50,000,
interest rate R = 1.6%
period t = 5 years
We need to find the principal amount (P)
First, convert R as a percent to decimal
r = 1.6/100
r = 0.016
Using the formula of compound interest for P,
P = A / (1 + r/n)nt
P = 50,000.00 / (1 + 0.016/12)(12)(5)
P = $46,158.28
Therefore, Kate should deposit $46,158.28
pls help me with this question
Q22
Q23
Answers
(a, b) = (1, 2) and (c, d) = (6, -6)
(a, b) = (2, 0) and (c, d) = (5, -4)
(a, b) = (3, -2) and (c, d) = (4, -2).
What is the explanation for the above?1) Note that since the adjacent angles in a parallelogram sum up to 180°, thus,
∠BDE = 180 -115 = 65°
∠DEC = 180 - 60 = 120°
Also:
∠BED = 60° (Angles on a straight line.)
Since we know ∠BDE and ∠BED, thus:
∠DBE = 180 - ∠BDE - ∠BED (Sum of Angles in a triangle)
∠DBE = 180 - 65 - 60
Thus:
∠DBE = x = 55°
2 )We know that the midpoint of the line segment joining (a, b) to (c, d) is (3.5, -2).
The midpoint formula is:
Midpoint = ((a+c)/2, (b+d)/2)
We can use this formula to create two equations based on the coordinates given:
3.5 = (a+c)/2 ---- (1)
-2 = (b+d)/2 ---- (2)
We have two equations with two variables (a, b, c, d). We can solve for one of the variables and then use that solution to find the other variables.
Let's solve equation (1) for c:
7 = a + c
c = 7 - a
Substitute c = 7 - a into equation (2):
-2 = (b+d)/2
-4 = b + d
d = -4 - b
So, we have found two expressions for c and d in terms of a and b:
c = 7 - a
d = -4 - b
Therefore, the possible coordinates for (a, b) and (c, d) are:
(a, b) = (1, 2) and (c, d) = (6, -6)
(a, b) = (2, 0) and (c, d) = (5, -4)
(a, b) = (3, -2) and (c, d) = (4, -2)
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can someone helppp!! i will guy brainlist if it’s right!
Answers
Answer: 12.75
Step-by-step explanation:
10.25+ .50(5)=12.75
When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is ________ .a. urinaryb. bladderc. fissured. supravesical
Answers
The correct option of the given question is option (c) fissure.
When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is c. fissure.
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The main term to reference in the index when coding the phrase "supravesical fissure of urinary bladder" is c. fissure.
In medical coding, the index is typically organized alphabetically based on the main terms or significant words within medical terminology. In this case, "fissure" is the main term that represents the specific condition or anatomical feature being coded.
The other terms, such as "urinary," "bladder," and "supravesical," provide additional context but are not the primary focus when searching for the appropriate code in the index.
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The All in One wireless phone company offers a cell phone plan of 900 minutes per month for $59.99. Each minute over the first 900 is an additional $0.40 per minute. Which algebraic expression could be used to model Tom's total cell phone bill for using m minutes during the month of February, if Tom used more than 900 minutes that month?
Answers
Answer:
$59.99 + 0.40(\(m\) - 900)
Step-by-step explanation:
Given that:
Per month charges for 900 minutes = $59.99
After 900 minutes, each minute is charged $0.40 per minute.
Also, there are \(m\) number of minutes used in February.
Plus, we know that:
\(m>900\)
To find:
Algebraic expression to represent the total bill in the month of February.
Solution:
Charges for the first 900 calls = $59.99
Total number of calls = \(m\)
Total number of calls above 900 = \(m\) - 900
Charges per call above 900 = $0.40
Charges for the calls above 900 = Number of calls above 900 \(\times\) Charges per call above 900 = 0.40(\(m\) - 900)
Therefore, total charges for \(m\) calls = $59.99 + 0.40(\(m\) - 900)
A scale drawing of a stop sign is shown. The scale of the drawing is 1 inch
represents 1/3 foot. All of the sides of the stop sign are the same length. How
long, in feet, is each side of the actual stop sign?
Answers
the scale shows each side is three inches
One inch represents 1/3 of a foot
1/3 • 3=1
1.
The distance from the Sun to Mercury is 3.598. 10^7
miles. The distance from the Sun to Neptune is
2.798. 10^9 miles. How far is Mercury from Neptune?
Write your answer in scientific notation.
Answers
Answer:
Exponente positivo
Potencias de 10
Escribe estos números en forma ordinaria:
7'3·103; 4'724·108; 8'24·105
Notación científica. Orden de magnitud. Comparaciones
Expresa en notación científica las siguientes cantidades e indica su orden de magnitud.
235'74; 1985; 12 billones; 320 millones; 37.800.000.000; 220.000.
La desaparición de los dinosaurios ocurrió hace 65 millones de años, aproximadamente 108 años. Por ello hemos situado la D debajo de la potencia correspondiente:
El nacimiento del Universo (U) ocurrió hace 15 mil millones de años . Sitúa U en la casilla que le corresponde. Haz lo mismo con:
El califato cordobés de Abderramán (A): aproximadamente 800 años.
El control, del fuego (F): hace 600.000 años.
Aparición del hombre de Cromagnon (C): 30.000 años.
El nacimiento de la Tierra: (T): 4.5 mil millones de años.
El primer paso del hombre en la Luna (L): hace una veintena de años.
El primer paso del hombre en la Tierra (H): tres millones de años
La invención de la imprenta por Gutenberg (G): hace 550 años.
La nebulosa "Triangulum" está a 1'4·1022 metros de la Tierra. Escribe esta distancia en forma ordinaria.
Step-by-step explanation: