Question 1

Which of the following is NOT a common step in hypothesis testing?

Accepted Answer

A) state the null and alternative hypotheses 
B) use the significance level to establish the decision rule 
C) compute the value of the test statistic 
D) apply the decision rule and make your decision 
E) none of the above; all are common steps

Question 2

The p-value measures the probability that, if the null hypothesis is true, we would randomly produce a sample result at least as unlikely as the sample result that we actually produced.

Accepted Answer

A) True 
 B)False

Question 3

Which of the following best describe(s) the significance level?

Accepted Answer

A) it is the probability of rejecting a true null hypothesis 
B) it is denoted by $\alpha$ 
C) it is the probability of making a Type I error 
D) it is used to define the boundary of the reject H0 region 
E) all of the above

Question 4

Type I error in hypothesis testing is

Accepted Answer

A) accepting the sample result when it should have been rejected 
B) rejecting an alternative hypothesis that is actually false 
C) rejecting a null hypothesis when it is actually true 
D) rejecting the sample result when it should have been accepted 
E) none of the above

Question 5

Changing the significance level of a hypothesis test from 5% to 10%,

Accepted Answer

A) Reduces the chances of Type I error. 
B) Increases the chances of Type I error. 
C) Reduces the chances of Type II error. 
D) Both a and c are true. 
E) Both b and c are true.

Question 6

In interval estimation, sample results are used to estimate the value of a population parameter.In hypothesis testing,

Accepted Answer

A) A hypothesis regarding a sample statistic is tested against the actual sample results. 
B) A hypothesis regarding a population parameter is tested using sample results. 
C) Sample results are used to form a hypothesis regarding a population. 
D) The known values of population parameters are used to form a hypothesis about a sample statistic. 
E) none of the above

Question 7

The level of significance in hypothesis testing, $\alpha$, measures the maximum probability of making a Type II error, which is the probability of accepting a false null hypothesis.

Accepted Answer

A) True 
 B)False

Question 8

A report stated that the average number of overtime hours for IRS workers during the past week was more than 10 hours per worker.You will test that statement with a sample of workers.What null and alternative hypotheses would you recommend here if you want to choose a null hypothesis that is skeptical of the report's number?

Accepted Answer

A)  H0: µ > 10 units (The average overtime is more than 10 hours.)
Ha: µ ≤ 10 units (The average overtime is no more than 10 hours.) 
B)  H0: µ = 10 units (The average overtime is 10 hours.)
Ha: µ ≠ 10 units (The average overtime is not 10 hours.) 
C)  H0: µ ≠ 10 units (The average overtime is not be 10 hours.)
Ha: µ = 10 units (The average overtime is 10 hours.) 
D)  H0: µ ≤ 10 units (The average overtime is no more than 10 hours.)
Ha: µ > 10 units (The average overtime is more than 10 hours.) 
E)  H0: µ a: µ > 10 units (The average overtime is more than 10 hours.)

Question 9

Which of the following does not need to be known in order to compute the p-value?

Accepted Answer

A) knowledge of whether the test is one-tailed or two-tailed 
B) the value of the test statistic 
C) the level of significance 
D) a, b, and c are all unnecessary 
E) a, b and c are all needed

Question 10

The value of the test statistic for a two-tail hypothesis test for a population mean is the same as for a one-tail hypothesis test.

Accepted Answer

A) True 
 B)False

Question 11

In the standard forms for the null and alternative hypotheses, the equality part of a hypothesis can appear in either hypothesis.

Accepted Answer

A) True 
 B)False

Question 12

You are to test the following hypotheses: H0: µ > 900
Ha: µ < 900
A sample of size 16 produces a sample mean of 882, with a standard deviation of 40.The p-value for this test is .0460.If the significance level set for the test is .01, we should

Accepted Answer

A) Reject the null hypothesis since $\alpha$  $\alpha$. 
D) not Reject the null hypothesis since $\alpha$ > p-value 
E) Accept the null hypothesis since p-value <$\alpha$

Question 13

You are to test the following hypotheses: H0: µ = 200
Ha: µ ≠ 200
A sample of size 25 produces a sample mean of 193, with a standard deviation of 28.The p-value for this two-tailed test is .2233.If the significance level set for the test is .10, we should

Accepted Answer

A) Reject the null hypothesis since $\alpha$  p-value 
D) not Reject the null hypothesis since p-value > $\alpha$. 
E) Accept the null hypothesis since p-value < $\alpha$

Question 14

You are to test the following hypotheses: H0: µ a: µ > 1500
A sample of size 16 produces a sample mean of 1540, with a standard deviation of 100.The p-value for this test is .0652.If the significance level set for the test is .05, we should

Accepted Answer

A) Reject the null hypothesis since$\alpha$ p-value 
D) not Reject the null hypothesis since p-value > $\alpha$ 
E) Accept the null hypothesis since $\alpha$> p-value

Question 15

A meteorologist stated that the average temperature during July in Orlando, Florida is exactly 80 degrees.A sample of 32 Julys was taken.If you wanted to challenge the statement, the correct set of hypothesis would be

Accepted Answer

A) H0: $\mu$a: $\mu$$\le$ 80 
B) H0: $\mu$$\le$80; Ha: $\mu$ > 80 
C) H0: $\mu$ = 80; Ha: $\mu$ $\neq$ 80 
D) H0:$\mu$$\neq$ 80; Ha:$\mu$ = 80 
E) none of the above

Question 16

The magnitude of z for a two-tailed hypothesis test of a population mean is greater than it would be in a one-tail hypothesis test given the same level of significance.

Accepted Answer

A) True 
 B)False

Question 17

In hypothesis testing, we reject the null hypothesis if the p-value < $\alpha$.

Accepted Answer

A) True 
 B)False

Question 18

The normal distribution can be used to approximate the t distribution when

Accepted Answer

A) standard deviations are small 
B) sample size is large 
C) the t distribution is skewed 
D) a normal table is unavailable 
E) none of the above

Question 19

Which of the following is NOT a common step in hypothesis testing?

Accepted Answer

A) state the null and alternative hypotheses 
B) use the significance level to establish the reject H0 region of the test 
C) compute the p-value for the sample result 
D) apply the decision rule and make your decision 
E) none of the above; all are steps

Question 20

The average household size in the US in 2012 was 2.55 persons (Source: US Census Bureau).In order to test for a change in the average size of a household, the correct null and alternative hypothesis would be:

Accepted Answer

A)  H0: µ > 2.55 persons (The average household size is greater than 2.5 persons.)
Ha: µ ≤ 2.55 persons (The average household size is no more than 2.55 persons.) 
B)  H0: µ = 2.55 persons (The average household size is 2.55 persons.)
Ha: µ ≠ 2.55 persons (The average household size is not 2.55 persons.) 
C)  H0: µ ≠ 2.55 persons (The average household size is not 2.55 persons.)
Ha: µ = 2.55 persons (The average household size is 2.55 persons.) 
D)  H0: µ ≤ 2.55 persons (The average household size is no more than 2.55 persons.)
Ha: µ > 2.55 persons (The average household size is greater than 2.55 persons.) 
E)  H0: µ a: µ > 2.55 persons (The average household size is greater than 2.55 persons.)

Exam 9: Statistical Hypothesis Testing: Hypothesis Tests for a Population Mean

Which of the following is NOT a common step in hypothesis testing?

The p-value measures the probability that, if the null hypothesis is true, we would randomly produce a sample result at least as unlikely as the sample result that we actually produced.

Which of the following best describe(s) the significance level?

Type I error in hypothesis testing is

Changing the significance level of a hypothesis test from 5% to 10%,

In interval estimation, sample results are used to estimate the value of a population parameter.In hypothesis testing,

The level of significance in hypothesis testing, $\alpha$ , measures the maximum probability of making a Type II error, which is the probability of accepting a false null hypothesis.

Which of the following does not need to be known in order to compute the p-value?

The value of the test statistic for a two-tail hypothesis test for a population mean is the same as for a one-tail hypothesis test.

In the standard forms for the null and alternative hypotheses, the equality part of a hypothesis can appear in either hypothesis.

You are to test the following hypotheses: H₀: µ > 900 H_a: µ < 900 A sample of size 16 produces a sample mean of 882, with a standard deviation of 40.The p-value for this test is .0460.If the significance level set for the test is .01, we should

You are to test the following hypotheses: H₀: µ = 200 H_a: µ ≠ 200 A sample of size 25 produces a sample mean of 193, with a standard deviation of 28.The p-value for this two-tailed test is .2233.If the significance level set for the test is .10, we should

You are to test the following hypotheses: H₀: µ < 1500 H_a: µ > 1500 A sample of size 16 produces a sample mean of 1540, with a standard deviation of 100.The p-value for this test is .0652.If the significance level set for the test is .05, we should

A meteorologist stated that the average temperature during July in Orlando, Florida is exactly 80 degrees.A sample of 32 Julys was taken.If you wanted to challenge the statement, the correct set of hypothesis would be

The magnitude of z for a two-tailed hypothesis test of a population mean is greater than it would be in a one-tail hypothesis test given the same level of significance.

In hypothesis testing, we reject the null hypothesis if the p-value < $\alpha$ .

The normal distribution can be used to approximate the t distribution when

Which of the following is NOT a common step in hypothesis testing?

The average household size in the US in 2012 was 2.55 persons (Source: US Census Bureau) .In order to test for a change in the average size of a household, the correct null and alternative hypothesis would be:

Exam 9: Statistical Hypothesis Testing: Hypothesis Tests for a Population Mean

Which of the following is NOT a common step in hypothesis testing?

The p-value measures the probability that, if the null hypothesis is true, we would randomly produce a sample result at least as unlikely as the sample result that we actually produced.

Which of the following best describe(s) the significance level?

Type I error in hypothesis testing is

Changing the significance level of a hypothesis test from 5% to 10%,

In interval estimation, sample results are used to estimate the value of a population parameter.In hypothesis testing,

The level of significance in hypothesis testing, α\alphaα , measures the maximum probability of making a Type II error, which is the probability of accepting a false null hypothesis.

Which of the following does not need to be known in order to compute the p-value?

The value of the test statistic for a two-tail hypothesis test for a population mean is the same as for a one-tail hypothesis test.

In the standard forms for the null and alternative hypotheses, the equality part of a hypothesis can appear in either hypothesis.

You are to test the following hypotheses: H0: µ > 900 Ha: µ < 900 A sample of size 16 produces a sample mean of 882, with a standard deviation of 40.The p-value for this test is .0460.If the significance level set for the test is .01, we should

You are to test the following hypotheses: H0: µ = 200 Ha: µ ≠ 200 A sample of size 25 produces a sample mean of 193, with a standard deviation of 28.The p-value for this two-tailed test is .2233.If the significance level set for the test is .10, we should

You are to test the following hypotheses: H0: µ < 1500 Ha: µ > 1500 A sample of size 16 produces a sample mean of 1540, with a standard deviation of 100.The p-value for this test is .0652.If the significance level set for the test is .05, we should

A meteorologist stated that the average temperature during July in Orlando, Florida is exactly 80 degrees.A sample of 32 Julys was taken.If you wanted to challenge the statement, the correct set of hypothesis would be

The magnitude of z for a two-tailed hypothesis test of a population mean is greater than it would be in a one-tail hypothesis test given the same level of significance.

In hypothesis testing, we reject the null hypothesis if the p-value < α\alphaα .

The normal distribution can be used to approximate the t distribution when

Which of the following is NOT a common step in hypothesis testing?

The average household size in the US in 2012 was 2.55 persons (Source: US Census Bureau) .In order to test for a change in the average size of a household, the correct null and alternative hypothesis would be:

The level of significance in hypothesis testing, $\alpha$ , measures the maximum probability of making a Type II error, which is the probability of accepting a false null hypothesis.

You are to test the following hypotheses: H₀: µ > 900 H_a: µ < 900 A sample of size 16 produces a sample mean of 882, with a standard deviation of 40.The p-value for this test is .0460.If the significance level set for the test is .01, we should

You are to test the following hypotheses: H₀: µ = 200 H_a: µ ≠ 200 A sample of size 25 produces a sample mean of 193, with a standard deviation of 28.The p-value for this two-tailed test is .2233.If the significance level set for the test is .10, we should

You are to test the following hypotheses: H₀: µ < 1500 H_a: µ > 1500 A sample of size 16 produces a sample mean of 1540, with a standard deviation of 100.The p-value for this test is .0652.If the significance level set for the test is .05, we should

In hypothesis testing, we reject the null hypothesis if the p-value < $\alpha$ .