Question 1

Two approaches to drawing a conclusion in a hypothesis test are ​

Accepted Answer

A)  ​p-value and critical value. 
B)  ​one-tailed and two-tailed. 
C)  ​Type I and Type II. 
D)  ​null and alternative. 
A)  ​p-value and critical value. 
B)  ​one-tailed and two-tailed. 
C)  ​Type I and Type II. 
D)  ​null and alternative.

Question 2

In hypothesis testing, if the null hypothesis has been rejected when the alternative hypothesis has been true,

Accepted Answer

A)  a Type I error has been committed. 
B)  a Type II error has been committed. 
C)  either a Type I or a Type II error has been committed. 
D)  the correct decision has been made. 
A)  a Type I error has been committed. 
B)  a Type II error has been committed. 
C)  either a Type I or a Type II error has been committed. 
D)  the correct decision has been made.

Question 3

In a two-tailed hypothesis test situation, the test statistic is determined to be t = -2.032. The sample size is 35. The p-value for this test is

Accepted Answer

A)  -.05. 
B)  +.05. 
C)  -.10. 
D)  +.10. 
A)  -.05. 
B)  +.05. 
C)  -.10. 
D)  +.10.

Question 4

​When the null hypothesis is not rejected, it is​

Accepted Answer

A)  possible a Type I error has occurred. 
B)  possible a Type II error has occurred. 
C)  not possible a Type II error has occurred. 
D)  ​possible either a Type I or a Type II error has occurred. 
A)  possible a Type I error has occurred. 
B)  possible a Type II error has occurred. 
C)  not possible a Type II error has occurred. 
D)  ​possible either a Type I or a Type II error has occurred.

Question 5

A juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is

Accepted Answer

A)  H0: μ a: μ ≥ 12. 
B)  H0: μ   12 Ha: μ > 12. 
C)  H0: μ ≠ 12 Ha: μ = 12. 
D)  H0: μ = 12 Ha: μ ≠ 12. 
A)  H0: μ a: μ ≥ 12. 
B)  H0: μ   12 Ha: μ > 12. 
C)  H0: μ ≠ 12 Ha: μ = 12. 
D)  H0: μ = 12 Ha: μ ≠ 12.

Question 6

Given the following information, ​
N = 36,   = 60, s =12
H0: μ ≥ 63
Ha: μ < 63
​
The test statistic is

Accepted Answer

A)  .67. 
B)  -67. 
C)  1.5. 
D)  -1.5. 
A)  .67. 
B)  -67. 
C)  1.5. 
D)  -1.5.

Question 7

A student believes that the average grade on the final examination in statistics is at least 85. She plans on taking a sample to test her belief. The correct set of hypotheses is

Accepted Answer

A)  H0: μ a: μ   85. 
B)  H0: μ   85 Ha: μ > 85. 
C)  H0: μ   85 Ha: μ 0: μ > 85 Ha: μ   85. 
A)  H0: μ a: μ   85. 
B)  H0: μ   85 Ha: μ > 85. 
C)  H0: μ   85 Ha: μ 0: μ > 85 Ha: μ   85.

Question 8

A random sample of 25 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years. We want to determine if the average age of all the students at the university is significantly more than 24. Assume the distribution of the population of ages is normal. The p-value is between

Accepted Answer

A)  .005 to .01. 
B)  .01 to .025. 
C)  .025 to .05. 
D)  .05 to .10. 
A)  .005 to .01. 
B)  .01 to .025. 
C)  .025 to .05. 
D)  .05 to .10.

Question 9

For a one-tailed hypothesis test (upper tail), the p-value is computed to be .034. If the test is being conducted at the 1% level of significance, the null hypothesis

Accepted Answer

A)  could be rejected or not rejected depending on the sample size. 
B)  could be rejected or not rejected depending on the sample mean. 
C)  is not rejected. 
D)  is rejected. 
A)  could be rejected or not rejected depending on the sample size. 
B)  could be rejected or not rejected depending on the sample mean. 
C)  is not rejected. 
D)  is rejected.

Question 10

A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken to test the weatherman's statement. The correct set of hypotheses is

Accepted Answer

A)  H0: μ   80 Ha: μ 0: μ   80 Ha: μ > 80. 
C)  H0: μ ≠ 80 Ha: μ = 80. 
D)  H0: μ a: μ > 80. 
A)  H0: μ   80 Ha: μ 0: μ   80 Ha: μ > 80. 
C)  H0: μ ≠ 80 Ha: μ = 80. 
D)  H0: μ a: μ > 80.

Question 11

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)  The probability distribution of the test statistic 
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)  The probability distribution of the test statistic

Question 12

For a two-tailed hypothesis test with a sample size of 32 and a .10 level of significance, the critical values of the test statistic t are

Accepted Answer

A)  -1.699 and 1.699. 
B)  -1.311 and 1.311. 
C)  -1.310 and 1.310 . 
D)  -1.697 and 1.697. 
A)  -1.699 and 1.699. 
B)  -1.311 and 1.311. 
C)  -1.310 and 1.310 . 
D)  -1.697 and 1.697.

Question 13

For a lower tail test, the test statistic z is determined to be zero. The p-value for this test is

Accepted Answer

A)  zero. 
B)  -.5. 
C)  +.5. 
D)  1. 
A)  zero. 
B)  -.5. 
C)  +.5. 
D)  1.

Question 14

For a one-tailed (upper tail) hypothesis test with a sample size of 26 and a .01 level of significance, the critical value of the test statistic t is

Accepted Answer

A)  2.797. 
B)  2.787. 
C)  2.485. 
D)  2.479. 
A)  2.797. 
B)  2.787. 
C)  2.485. 
D)  2.479.

Question 15

​In hypothesis testing, the critical value is

Accepted Answer

A)  ​a number that establishes the boundary of the rejection region. 
B)  ​the probability of a Type I error. 
C)  ​the probability of a Type II error. 
D)  ​the same as the p-value. 
A)  ​a number that establishes the boundary of the rejection region. 
B)  ​the probability of a Type I error. 
C)  ​the probability of a Type II error. 
D)  ​the same as the p-value.

Question 16

An assumption made about the value of a population parameter is called a(n)

Accepted Answer

A)  hypothesis. 
B)  conclusion. 
C)  error. 
D)  probability. 
A)  hypothesis. 
B)  conclusion. 
C)  error. 
D)  probability.

Question 17

The p-value

Accepted Answer

A)  can be any negative value. 
B)  can be any positive value. 
C)  must be a number between -1 and 0. 
D)  must be a number between zero and one. 
A)  can be any negative value. 
B)  can be any positive value. 
C)  must be a number between -1 and 0. 
D)  must be a number between zero and one.

Question 18

Read the z statistic from the normal distribution table and choose the correct answer. For a two-tailed test using α = .0150, z =

Accepted Answer

A)  1.96. 
B)  2.17. 
C)  -2.17. 
D)  -125. 
A)  1.96. 
B)  2.17. 
C)  -2.17. 
D)  -125.

Question 19

In hypothesis testing, the tentative assumption about the population parameter is

Accepted Answer

A)  the alternative hypothesis. 
B)  the null hypothesis. 
C)  either the null or the alternative. 
D)  neither the null nor the alternative. 
A)  the alternative hypothesis. 
B)  the null hypothesis. 
C)  either the null or the alternative. 
D)  neither the null nor the alternative.

Question 20

A sample of 1400 items had 280 defective items. For the following hypothesis test, ​
H0: p ≤ .20
Ha: p > .20
​
The test statistic is

Accepted Answer

A)  .28. 
B)  .14. 
C)  .20. 
D)  zero. 
A)  .28. 
B)  .14. 
C)  .20. 
D)  zero.

Exam 9: Hypothesis Tests

Two approaches to drawing a conclusion in a hypothesis test are ​

In hypothesis testing, if the null hypothesis has been rejected when the alternative hypothesis has been true,

In a two-tailed hypothesis test situation, the test statistic is determined to be t = -2.032. The sample size is 35. The p-value for this test is

​When the null hypothesis is not rejected, it is​

A juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is

Given the following information, ​ N = 36, = 60, s =12 H0: μ ≥ 63 Ha: μ < 63 ​ The test statistic is

A student believes that the average grade on the final examination in statistics is at least 85. She plans on taking a sample to test her belief. The correct set of hypotheses is

For a one-tailed hypothesis test (upper tail), the p-value is computed to be .034. If the test is being conducted at the 1% level of significance, the null hypothesis

A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken to test the weatherman's statement. The correct set of hypotheses is

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

For a two-tailed hypothesis test with a sample size of 32 and a .10 level of significance, the critical values of the test statistic t are

For a lower tail test, the test statistic z is determined to be zero. The p-value for this test is

For a one-tailed (upper tail) hypothesis test with a sample size of 26 and a .01 level of significance, the critical value of the test statistic t is

​In hypothesis testing, the critical value is

An assumption made about the value of a population parameter is called a(n)

The p-value

Read the z statistic from the normal distribution table and choose the correct answer. For a two-tailed test using α = .0150, z =

In hypothesis testing, the tentative assumption about the population parameter is

A sample of 1400 items had 280 defective items. For the following hypothesis test, ​ H0: p ≤ .20 Ha: p > .20 ​ The test statistic is

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Two approaches to drawing a conclusion in a hypothesis test are

When the null hypothesis is not rejected, it is

Given the following information, N = 36, = 60, s =12 H₀: μ ≥ 63 H_a: μ < 63 The test statistic is

In hypothesis testing, the critical value is

A sample of 1400 items had 280 defective items. For the following hypothesis test, H₀: p ≤ .20 H_a: p > .20 The test statistic is