Suppose prior elections in a certain state indicated it is necessary for a candidate for governor to receive at least 80% of the vote in the northern section of the state to be elected. The incumbent governor is interested in assessing his chances of returning to office and plans to conduct a survey of 2,000 registered voters in the northern section of the state. Use the statistical hypothesis-testing procedure to assess the governor's chances of reelection. What is the z-value? a. 0.5026 b. 0.4974 c. 2.80 d. -2.80
Answers
To determine the z-value accurately, we would need the actual proportion of voters supporting the governor in the sample (\(\bar p\)) and the assumed population proportion (p).
What is null hypothesis?The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable.
To assess the governor's chances of reelection, we need to conduct a statistical hypothesis test using the z-test.
Let's assume that the null hypothesis (H₀) is that the governor will receive 80% of the vote in the northern section of the state, and the alternative hypothesis (Hₐ) is that he will receive less than 80% of the vote.
Given that the governor plans to survey 2,000 registered voters in the northern section of the state, we need to determine the sample proportion (\(\bar p\)) of voters who support the governor.
Next, we calculate the standard error (SE) using the formula:
SE = √((\(\bar p\)(1-\(\bar p\)))/n)
Where:
- \(\bar p\) is the sample proportion
- n is the sample size (2,000 in this case)
Once we have the standard error, we can calculate the z-value using the formula:
z = (\(\bar p\) - p) / SE
Where:
- p is the assumed population proportion (80% in this case)
Finally, we compare the z-value to the critical value at the desired significance level (usually 0.05) to determine the statistical significance.
Given that we don't have the specific values for \(\bar p\) and p, it is not possible to calculate the exact z-value without additional information. Therefore, none of the provided options (a, b, c, d) can be considered correct.
To determine the z-value accurately, we would need the actual proportion of voters supporting the governor in the sample (\(\bar p\)) and the assumed population proportion (p).
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Related Questions
The gas tank of bus A was 2/3 full of gas. A trip used 2/3 of that gas in the tank. What fraction of gas was used up? The gas tank of bus B was 2/6 full of gas. A trip used 3/4 of that gas in the tank. What fraction of gas was used up? Who used up more gas and by how much more?
Answers
Answer:For Bus A:
- The fraction of gas used for the trip is: (2/3) x (2/3) = 4/9
- This means that 4/9 of the gas in the tank was used up.
For Bus B:
- The fraction of gas used for the trip is: (2/6) x (3/4) = 1/4
- This means that 1/4 of the gas in the tank was used up.
Therefore, Bus A used up more gas than Bus B by (4/9 - 1/4) = 1/36.
Step-by-step explanation:
Work out 50 as a presentage of 10
Answers
Answer:
500%
Step-by-step explanation:
10= 100%
50= 5*10= 5*100%= 500%
What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. A normal curve with a peak at 0 is shown. The area under the curve shaded is 1 to 2. Z Probability 0. 00 0. 5000 1. 00 0. 8413 2. 00 0. 9772 3. 00 0. 9987 0. 14 0. 16 0. 86 0. 98.
Answers
The approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
It is given that the standard normal curve shows the shaded area in the curve.
It is required to find the approximate area of the unshaded region under the standard normal curve.
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
In the curve showing the shaded region area between:
\(\rm P(1 < Z < 2)\)
First, we calculate the shaded region area:
From the data given the value of Ф(1) = 0.8413.
P(Z<1) = 0.8413 and
P(Z<2) = 0.9772
The area of the shaded region:
= P(Z<2) - P(Z<1)
= 0.9772 - 0.8413
= 0.1359
The area of the unshaded region:
= 1 - The area of the shaded region ( because the curve is symmetric)
= 1 - 0.1359
= 0.8641 ≈ 0.86
Thus, the approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
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if demand is 106 during january, 120 in february, 134 in march, and 142 in april, what is the 3-month simple moving average for may? answer 132 126 138 i don't know yet
Answers
The 3-month simple moving average for May is 132.
To calculate the 3-month simple moving average for May, we need to take the average of the demand values for the three preceding months (February, March, and April).
The demand values for these months are 120, 134, and 142, respectively. To find the moving average, we sum these values and divide by 3 (the number of months):
Moving Average = (120 + 134 + 142) / 3 = 396 / 3 = 132
Therefore, the 3-month simple moving average for May is 132.
The simple moving average is a commonly used method to smooth out fluctuations in data and provide a clearer trend over a specific time period. It helps in identifying the overall direction of demand changes. By calculating the moving average, we can observe that the average demand over the past three months is 132 units. This provides an indication of the demand trend leading up to May. It's important to note that the moving average is a lagging indicator, as it relies on past data to calculate the average.
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What is so yeah can anyone please help me 6(3×-5)=10
Answers
6(3x+5)=10 becomes 18x-30=10
Then add 30 to both sides, 18x-30+30=10+30.
After that simplify it, 18x=40.
Since x should be alone, divide both sides by 18.
x= 20/9 is the answer.
Roxiand Jan constructed a scale model of a swing set. The height of the actual swing set is 10 feet tall and 15 feet long and 8.5 feet wide. Roxi crafts a swing set that is 25 in by 37.5 in by 21.25 in. What is the scale factor of Roxi's model? (Round to the nearest hundredth, if necessary)
Answers
Answer:
The scale factor of Roxi's model is 5:24 ( ≅ 0.21).
Step-by-step explanation:
A scale factor can be used to either enlarge or reduce the size of an object.
scale factor = \(\frac{reduced length}{actual length}\)
Since 1 feet = 12 inches, then for the actual swing set;
length = 15 feet = 15 x 12 = 180 inches
height = 10 feet = 10 x 12 = 120 inches
width = 8.5 feet = 8.5 x 12 = 102 inches
For Roxi's crafts swing set;
length = 37.5 inches
height = 25 inches
width = 21.25 inches
i. Comparing the actual length with the length of Roxi's model.
scale factor of Roxi's model = \(\frac{37.5}{180}\)
= \(\frac{5}{24}\)
ii. Comparing the actual height with the height of Roxi's model.
scale factor of Roxi's model = \(\frac{25}{120}\)
= \(\frac{5}{24}\)
iii. Comparing the actual width with the width of Roxi's model.
scale factor of Roxi's model = \(\frac{21.25}{102}\)
= \(\frac{5}{24}\)
Therefore, the scale factor of Roxi's model is 5:24 ( ≅ 0.21).
Find the measure of the arc or angle indicated.
Answers
Answer:
Step-by-step explanation:
17) ∠V is half the difference of long arc TW and short arc UW... (198° - UW)/2 = 69°.. 198° -138° = UW = 60° (C)
Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
Answers
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
Type the correct answer in the box. spell the word correctly. the probability of event a is 0.65, and the probability of event b is 0.76. the probability of both event a and event b occurring is 0.494. are events a and b dependent or independent? in this scenario, events a and b are events.
Answers
Independent events are ones whose occurrence is not contingent on the occurrence of another event. The two events A and B are independent.
What are independent events?Independent events are ones whose occurrence is not contingent on the occurrence of another event.
As it is given that the probability of event A occurring is 0.65, while the probability of event B occurring is 0.76. And the probability of both event A and event B occurring is 0.494.
We know that for two independent events the probability of both the events occuring is given by the formula,
\(\rm P(A\ and\ B)=P(A) \times P(B)\)
Substitute the values of P(A) and P(B), we will get,
\(\rm P(A\ and\ B)=0.65 \times 0.76\)
\(=0.494\)
Since the probability of both the events occuring together is 0.494.
Hence, the two events A and B are independent.
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The sum of two numbers is 65 and the difference of those two numbers is -18
Answers
Answer:
41.5
23.5
Step-by-step explanation:
Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is -18. In other words, x minus y equals -18 and can be written as equation B:
x - y = -18
Now solve equation B for x to get the revised equation B:
x = -18 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
-18+y+y=65
-18 + 2y = 65
2y = 83
y = 41.5
Now we know y is 41.5. Which means that we can substitute y for 41.5 in equation A and solve for x:
x + y = 65
x + 41.5= 65
X = 23.5
DIfference : 23.5 - 41.5 = 18
Sum: 41.5 +23.5 = 65
Hence, The two number are 23.5 and 41.5
[RevyBreeze]
Evaluate the numerical expression (5-4) 1/2
Answers
Answer:
I think the answer is 1/2
The value of the numerical expression (5 - 4) x 1/2 will be 0.50.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The expression is given below.
⇒ (5 - 4) x 1/2
Simplify the expression, then we have
⇒ (5 - 4) x 1/2
⇒ 1 x 1/2
⇒ 1 / 2
⇒ 0.50
The value of the numerical expression (5 - 4) x 1/2 will be 0.50.
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Three MBA students took this week's test lateIf there are 13 total students in the course what percent (to the nearest whole percent) of students took the test late? Include the % sign with your answer
Answers
Answer:
23%
Step-by-step explanation:
What’s 70x56,000+65,000,000
Answers
Step 1: we know that angle t s r is-congruent-to angle q r s because all right angles are congruent. step 2: we know that angle t is-congruent-to angle q because it is given. step 3: we know that line segment s r is-congruent-to line segment r s because of the reflexive property. step 4: triangle t s r is-congruent-to triangle q r s because of the asa congruence theorem. of the aas congruence theorem. of the third angle theorem. all right triangles are congruent.
Answers
With the help of congruency of triangles rules, we know that TSR ≅ QRS because of (B) the AAS congruence theorem.
What is the congruency of triangles?Two triangles are said to be congruent if all three corresponding sides and all three corresponding angles have the same size.
These triangles can be moved, turned, flipped, and rotated to produce the same appearance.
When moved, they are parallel to one another.
So, we have two sets of angles and one common side.
Review the congruence situations.
SSS ⇒ Three sides in the first, three sides in the second.
SAS: two sides, including the angle of the first side.
Incorporating angle in the second.
2 angles and the side that joins them in the first, according to ASA
Two angles and the side that connects the two angles.
AAS = 2 angles in the first triangle, plus 1 side.
Second, and one side in △.
Let's read the statements again and fill in the blanks.
Step 1: Since all right angles are congruent, mTSR = mQRS = 90°.
Step 2: Since it is given, mT = mQ
Step 3: Due to the reflexive property, SR becomes RS (common side)
Step 4: Because of the AAS congruence theorem, TSR and QRS are required.
Therefore, with the help of congruency of triangles rules, we know that TSR ≅ QRS because of (B) the AAS congruence theorem.
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The correct form of a question:
Given: TSR and QRS are right angles; T ≅ Q
Prove: TSR ≅ QRS
Step 1: We know that TSR ≅ QRS because all right angles are congruent.
Step 2: We know that T ≅ Q because it is given.
Step 3: We know that SR ≅ RS is because of the reflexive property.
Step 4: TSR ≅ QRS because __________
a. of the ASA congruence theorem
b. of the AAS congruence theorem
c. of the third angel theorem
d. all right triangles are congruent
only the two largest non-zero units should be used. round up the second unit if necessary so that the output only has two units even though this might mean the output represents slightly more time than x seconds.
Answers
To round up the second unit, only the two largest non-zero units should be used. For example, if the output represents slightly more time than x seconds, it will be rounded up to the nearest minute.
To explain further, let's consider an example where x represents a certain amount of time in seconds. To convert this time to a more simplified and rounded format, we follow the given instruction.
First, we identify the two largest non-zero units. In the context of time, the units are seconds, minutes, hours, and so on. Since we are working with seconds, the largest non-zero unit is seconds itself. The next largest non-zero unit is minutes.
Next, we round up the second unit if necessary. For instance, if the time represented by x seconds is slightly more than a whole number of minutes, we round up to the next minute.
For example, if x seconds is equivalent to 90 seconds, we would round up to 2 minutes. Similarly, if x seconds is equivalent to 180 seconds, we would round up to 3 minutes.
By following this approach, we ensure that the output time representation has only two units (seconds and minutes), even if it means representing slightly more time than x seconds.
Overall, this rounding method simplifies and rounds the time representation to the nearest minute, ensuring that the output has only two units.
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The box plot below represents some data set. What percentage of the data values are less than 60?
Answers
Answer:
6
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
the box represents 50% of the data
the value to the left side of the box, the lower quartile represent 25% of the data
the circumference of a circle is 40TT what is the radius
Answers
The circumference of a circle is given by the following formula:
\(c=2\pi r\)From this equation, we can solve for r by dividing both sides by 2π, like this:
\(\begin{gathered} \frac{c}{2\pi}=\frac{2\pi r}{2\pi} \\ \frac{c}{2\pi}=\frac{2\pi}{2\pi}r \\ \frac{c}{2\pi}=1\times r \\ \frac{c}{2\pi}=r \\ r=\frac{c}{2\pi} \end{gathered}\)By replacing 40π for c, we get:
\(r=\frac{40\pi}{2\pi}=20\)Then, the radius of the circle equals 20
7.5 as improper fraction
Answers
Answer:
15/2
Step-by-step explanation: Have a nice day
true or false: the quantity represented by θ is a function of time (i.e., is not constant).
Answers
Answer: the answer to this is true
Find the volume of the prism.
36 m
3 m
5 m
Answers
Answer:=40m
Step-by-step explanation: 36m+3m+5m
Answer:
540m
Step-by-step explanation:
I don't understand this.
Answers
Answer:
98 degrees
Step-by-step explanation:
find area of polygon PLEASE!!!
Answers
Step-by-step explanation:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.
...
Here is what it will look like:
area = 1/2 x 120 x 10√3.
area = 60 x 10√3.
area = 600√3.
hope this helps
you bought two new pairs of shoes with the last of your money in your checking account. your next payday isn't until next friday. what is opportunity cost of these shoes?
Answers
The opportunity cost of buying two new pairs of shoes with the last of your money in your checking account is the potential alternative uses of that money, such as paying bills or saving for future expenses.
Opportunity cost refers to the value of the next best alternative that is foregone when a choice is made. In this scenario, the opportunity cost of buying the shoes is the potential use of the money for other purposes. Identify the situation: You have purchased two new pairs of shoes using the last of your money in your checking account.
Determine the available alternatives: The alternatives in this case include paying bills, saving the money for future expenses, or investing it.
Assess the potential benefits of each alternative: Consider the benefits and importance of paying bills on time, ensuring financial stability, and having savings for emergencies or future needs.
Evaluate the chosen option: By choosing to buy the shoes, you have foregone the opportunity to use that money for the alternatives mentioned above.
Calculate the opportunity cost: The opportunity cost is the value of the next best alternative, which in this case is the potential benefit or financial security that could have been achieved by using the money for bills or savings.
To summarize, the opportunity cost of buying the shoes is the potential alternative uses of the money, such as paying bills or saving for future expenses.
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Help me lol i dont think its that hard
The price of an item has been reduced by 35%. The original price was $45 .
Answers
Answer:
Step-by-step explanation:
Since there were a 35% discount, it means that 65% of the original price still remains.
Therefore, 65% of 45 is 29.25
Show work for Max’s part and explain why he got it wrong and how you know this? Need help be detailed please!
Answers
Ann factored the expression completely
Max did not factor completely
Explanation:
The trinomial: 4x^2 - 6x - 4
ax^2 + bx + c
Factors of 16 = 2 and 8
The sum of -8 and 2 gives -6, while the product gives -16 (a × c = 4× 4)
we factorise:
4x^2 -8x + 2x - 4
4x (x - 2) + 2(x -2)
(4x + 2) (x - 2)
factorising completely, 2 is common to the first expression in bracket
2(2x + 1)(x - 2) = 2(x - 2)(2x + 1)
Ann factored: 2(x - 2)(2x + 1)
Max factored: (x - 2)(4x + 2)
From our workings, we can see Ann factored the expression completely
Max did not factor completely
Reason: one of the factors of the expression could still be factorise
4x + 2 can be factorise as 2(2x + 1)
45b + 22a + 65b + 43a
Answers
Answer:
110b+65a
Step-by-step explanation:
f^3+11g-4hf 3 +11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.
Answers
Given:
The expression is:
\(f^3+11g-4h\)
The given values are \(f=3,\ g=2,\ h=7\).
To find:
The value of the given expression for the given values.
Solution:
We have,
\(f^3+11g-4h\)
After substituting \(f=3,\ g=2,\ h=7\), we get
\(f^3+11g-4h=(3)^3+11(2)-4(7)\)
\(f^3+11g-4h=27+22-28\)
\(f^3+11g-4h=49-28\)
\(f^3+11g-4h=21\)
Therefore, the value of the given expression is 21.
Can you use addition or mulipulcation for solving 100000 x 1/100000
Answers
Using multiplication to solve 100000 x 1/100000, the answer would be 1.
You should use multiplication to solve the problem 100000 x 1/100000.
When you multiply 100000 by 1/100000, you're essentially multiplying 100000 by a fraction that represents "one part out of 100000.". The step by step explanation is:
1. Write down the given problem: 100000 x 1/100000
2. Perform the multiplication: 100000 x (1/100000)
3. Simplify the expression: 1
Mathematically, this can be written as:
So, 100000 x 1/100000 equals 1.
You wouldn't typically use addition to solve this particular problem, as it involves multiplication of a fraction rather than adding two numbers together. However, you could use addition to solve related problems.
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Victor puts $500 in a bank account that has a simple interest rate of 5.4%. How much will Victor have after 12 years?
Answers
Answer:
$ 324.00
Step-by-step explanation: First, convert R percent to r a decimal
r = R/100 = 5.4%/100 = 0.054 per year,
then, solving our equation
I = 500 × 0.054 × 12 = 324
I = $ 324.00
The simple interest accumulated
on a principal of $ 500.00
at a rate of 5.4% per year
for 12 years is $ 324.00.
ok can someone pls help me with these last 3 questions.
i know i’ve been asking for a lot today so i just want to say thank you for helping me
Answers
Answer:
1:C
2:B
3:D
Step-by-step explanation:
To solve these questions you need to know the exterior angle theorem.
1: 8x+2+9x+6=110
17x+8=110
17x=102
x=6
2: 30+98=?
so 128
3: 9x+11+9x+5=124
18x+16=124
18x=108
x=6