Question 1

For a mean,we would expect the test statistic to be near zero if the null hypothesis is true.

Accepted Answer

A) True 
 B)False

Question 2

For a given sample size and α level,the Student's t value always exceeds the z value.

Accepted Answer

A) True 
 B)False

Question 3

The null hypothesis is rejected when the p-value exceeds the level of significance.

Accepted Answer

A) True 
 B)False

Question 4

Given that in a one-tailed test you cannot reject H0,can you reject H0 in a two-tailed test at the same α?

Accepted Answer

A) Yes. 
B) No. 
C) Maybe. 
A) Yes. 
B) No. 
C) Maybe.

Question 5

Holding other factors constant,it is harder to reject the null hypothesis for a mean when conducting a two-tailed test rather than a one-tailed test.

Accepted Answer

A) True 
 B)False

Question 6

In a two-tailed test,a statistician got a z test statistic of 1.82.What is the p-value?

Accepted Answer

A) .0708 
B) .0688 
C) .0874 
D) .0301 
A) .0708 
B) .0688 
C) .0874 
D) .0301

Question 7

Which is not true of p-values?

Accepted Answer

A) When they are small,we want to reject H0. 
B) They measure the probability of an incorrect decision. 
C) They show the chance of Type I error if we reject H0. 
D) They do not require α to be specified a priori. 
A) When they are small,we want to reject H0. 
B) They measure the probability of an incorrect decision. 
C) They show the chance of Type I error if we reject H0. 
D) They do not require α to be specified a priori.

Question 8

The rejection region in a hypothesis test

Accepted Answer

A) is an area in the tail(s)of a sampling distribution. 
B) is a consensus formed by trained statisticians. 
C) is always set to correspond to α = .05 in the test. 
D) is always equal to the p-value in the test. 
A) is an area in the tail(s)of a sampling distribution. 
B) is a consensus formed by trained statisticians. 
C) is always set to correspond to α = .05 in the test. 
D) is always equal to the p-value in the test.

Question 9

After testing a hypothesis regarding the mean,we decided not to reject H0.Thus,we are exposed to

Accepted Answer

A) Type I error. 
B) Type II error. 
C) either Type I or Type II error. 
D) neither Type I nor Type II error. 
A) Type I error. 
B) Type II error. 
C) either Type I or Type II error. 
D) neither Type I nor Type II error.

Question 10

In hypothesis testing,Type I error is

Accepted Answer

A) always set at 5 percent. 
B) smaller than or equal to 5 percent. 
C) the probability of rejecting H0 when H0 is true. 
D) the probability of rejecting H0 when H1 is true. 
A) always set at 5 percent. 
B) smaller than or equal to 5 percent. 
C) the probability of rejecting H0 when H0 is true. 
D) the probability of rejecting H0 when H1 is true.

Question 11

For a sample size of n = 100,and σ = 10,we want to test the hypothesis H0: μ = 100.The sample mean is 103.The test statistic is

Accepted Answer

A) 1.645 
B) 1.960 
C) 3.000 
D) 0.300 
A) 1.645 
B) 1.960 
C) 3.000 
D) 0.300

Question 12

To test the hypothesis H0: π = .0125 using n = 160,it is safe to assume normality of p.

Accepted Answer

A) True 
 B)False

Question 13

For a right-tailed test of a hypothesis for a population mean with n = 14,the value of the test statistic was t = 1.863.The p-value is

Accepted Answer

A) between .05 and .025. 
B) between .10 and .05. 
C) greater than .10. 
D) less than .01. 
A) between .05 and .025. 
B) between .10 and .05. 
C) greater than .10. 
D) less than .01.

Question 14

The rejection region in a hypothesis test

Accepted Answer

A) is an area in the tail(s)of a sampling distribution. 
B) is a consensus formed by trained statisticians. 
C) is always set to correspond to α = .05 in the test. 
D) is always equal to the p-value in the test. 
A) is an area in the tail(s)of a sampling distribution. 
B) is a consensus formed by trained statisticians. 
C) is always set to correspond to α = .05 in the test. 
D) is always equal to the p-value in the test.

Question 15

When testing the hypothesis H0: μ = 100 with n = 100 and σ2 = 100,we find that the sample mean is 97.The test statistic is

Accepted Answer

A) −3.000 
B) −10.00 
C) −0.300 
D) −0.030 
A) −3.000 
B) −10.00 
C) −0.300 
D) −0.030

Question 16

The null hypothesis is

Accepted Answer

A) often from a benchmark or historical value. 
B) chosen after looking at the sample data. 
C) what the researcher is trying to prove. 
D) dependent on the level of significance. 
A) often from a benchmark or historical value. 
B) chosen after looking at the sample data. 
C) what the researcher is trying to prove. 
D) dependent on the level of significance.

Question 17

A study over a 10-year period showed that a certain mammogram test had a 50 percent rate of false positives.This indicates that

Accepted Answer

A) about half the tests indicated cancer. 
B) about half the tests missed a cancer that exists. 
C) about half the tests showed a cancer that did not exist. 
D) about half the women tested actually had no cancer. 
A) about half the tests indicated cancer. 
B) about half the tests missed a cancer that exists. 
C) about half the tests showed a cancer that did not exist. 
D) about half the women tested actually had no cancer.

Question 18

The Melodic Kortholt Company will change its current health plan if at least half the employees are dissatisfied with it.A trial sample of 25 employees shows that 16 are dissatisfied.In this problem

Accepted Answer

A) normality of the sample proportion should not be assumed. 
B) normality of the sample proportion can be assumed. 
C) normality of the sample proportion cannot be judged without knowing π. 
A) normality of the sample proportion should not be assumed. 
B) normality of the sample proportion can be assumed. 
C) normality of the sample proportion cannot be judged without knowing π.

Question 19

If a judge acquits every defendant,the judge will never commit a Type I error.(H0 is the hypothesis of innocence. )

Accepted Answer

A) True 
 B)False

Question 20

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.Find the critical value to test whether the mean transaction time exceeds 60 seconds at α = .01.

Accepted Answer

A) 2.947 
B) 2.602 
C) 2.583 
D) 2.333 
A) 2.947 
B) 2.602 
C) 2.583 
D) 2.333

For a mean,we would expect the test statistic to be near zero if the null hypothesis is true.

For a given sample size and α level,the Student's t value always exceeds the z value.

The null hypothesis is rejected when the p-value exceeds the level of significance.

Given that in a one-tailed test you cannot reject H0,can you reject H0 in a two-tailed test at the same α?

Holding other factors constant,it is harder to reject the null hypothesis for a mean when conducting a two-tailed test rather than a one-tailed test.

In a two-tailed test,a statistician got a z test statistic of 1.82.What is the p-value?

Which is not true of p-values?

The rejection region in a hypothesis test

After testing a hypothesis regarding the mean,we decided not to reject H0.Thus,we are exposed to

In hypothesis testing,Type I error is

For a sample size of n = 100,and σ = 10,we want to test the hypothesis H0: μ = 100.The sample mean is 103.The test statistic is

To test the hypothesis H0: π = .0125 using n = 160,it is safe to assume normality of p.

For a right-tailed test of a hypothesis for a population mean with n = 14,the value of the test statistic was t = 1.863.The p-value is

The rejection region in a hypothesis test

When testing the hypothesis H0: μ = 100 with n = 100 and σ2 = 100,we find that the sample mean is 97.The test statistic is

The null hypothesis is

A study over a 10-year period showed that a certain mammogram test had a 50 percent rate of false positives.This indicates that

The Melodic Kortholt Company will change its current health plan if at least half the employees are dissatisfied with it.A trial sample of 25 employees shows that 16 are dissatisfied.In this problem

If a judge acquits every defendant,the judge will never commit a Type I error.(H0 is the hypothesis of innocence. )

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.Find the critical value to test whether the mean transaction time exceeds 60 seconds at α = .01.

Overview of Statistics

Data Collection

Describing Data Visually

Descriptive Statistics

Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions and Estimation

Two-Sample Hypothesis Tests

Analysis of Variance

Simple Regression

Multiple Regression

Chi-Square Tests

Filters

Exam 9: One-Sample Hypothesis Tests

For a mean,we would expect the test statistic to be near zero if the null hypothesis is true.

For a given sample size and α level,the Student's t value always exceeds the z value.

The null hypothesis is rejected when the p-value exceeds the level of significance.

Given that in a one-tailed test you cannot reject H0,can you reject H0 in a two-tailed test at the same α?

Holding other factors constant,it is harder to reject the null hypothesis for a mean when conducting a two-tailed test rather than a one-tailed test.

In a two-tailed test,a statistician got a z test statistic of 1.82.What is the p-value?

Which is not true of p-values?

The rejection region in a hypothesis test

After testing a hypothesis regarding the mean,we decided not to reject H0.Thus,we are exposed to

In hypothesis testing,Type I error is

For a sample size of n = 100,and σ = 10,we want to test the hypothesis H0: μ = 100.The sample mean is 103.The test statistic is

To test the hypothesis H0: π = .0125 using n = 160,it is safe to assume normality of p.

For a right-tailed test of a hypothesis for a population mean with n = 14,the value of the test statistic was t = 1.863.The p-value is

The rejection region in a hypothesis test

When testing the hypothesis H0: μ = 100 with n = 100 and σ2 = 100,we find that the sample mean is 97.The test statistic is

The null hypothesis is

A study over a 10-year period showed that a certain mammogram test had a 50 percent rate of false positives.This indicates that

The Melodic Kortholt Company will change its current health plan if at least half the employees are dissatisfied with it.A trial sample of 25 employees shows that 16 are dissatisfied.In this problem

If a judge acquits every defendant,the judge will never commit a Type I error.(H0 is the hypothesis of innocence. )

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.Find the critical value to test whether the mean transaction time exceeds 60 seconds at α = .01.

Overview of Statistics

Data Collection

Describing Data Visually

Descriptive Statistics

Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions and Estimation

Two-Sample Hypothesis Tests

Analysis of Variance

Simple Regression

Multiple Regression

Chi-Square Tests

Filters