Question 1

Which symbol represents a test statistic used to test a hypothesis about a population mean?

Accepted Answer

A)  $\alpha$ 
B)  $\beta$ 
C)  $\mu$ 
D)  z

Question 2

If the null hypothesis is false and the researchers accept it, what error has been made? ____________

Accepted Answer

The answer of If the null hypothesis is false and...

Question 3

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the z-statistic?

Accepted Answer

A)  1.02 
B)  1.22 
C)  -1.02 
D)  -1.22

Question 4

For a two-tailed hypothesis test, the test statistic is z = 1.42. What is the p-value?

Accepted Answer

The answer of For a two-tailed hypothesis test, the test...

Question 5

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. What is the z-statistic? _______________

Accepted Answer

The answer of A manufacturer claims that less than 1%...

Question 6

Assuming that the null hypothesis is true, a p-value is the probability of observing a sample value greater than and/or less than an observed sample observation.

Accepted Answer

A) True 
 B)False

Question 7

Which of the following is NOT one of the five steps in the hypothesis testing procedure?

Accepted Answer

A)  Formulate a decision rule 
B)  State the null and alternate hypotheses 
C)  Select a level for $\beta$ 
D)  Identify the test statistic

Question 8

It is claimed that in a bushel of peaches, less than ten percent are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the sample proportion?

Accepted Answer

A)  0.10 
B)  0.125 
C)  40 
D)  0.40

Question 9

A manufacturer of stereo equipment introduces new models in the fall. Retail dealers are surveyed immediately after the Christmas selling season regarding their stock on hand of each piece of equipment. It has been discovered that unless 40% of the new equipment ordered by the retailers in the fall had been sold by Christmas, immediate production cutbacks are needed. The manufacturer has found that contacting all of the dealers after Christmas by mail is frustrating as many of them never respond. This year 80 dealers were selected at random and telephoned regarding a new receiver. It was discovered that 38% of those receivers had been sold. Since 38% is less than 40%, does this mean that immediate production cutbacks are needed or can this difference of 2 percentage points be attributed to sampling? Test at the 0.05 level. Computed z = -0.37.

Accepted Answer

A)  Cut back production. 
B)  Do not cut back production. 
C)  Increase production. 
D)  None of the above.

Question 10

What is another name for the Type I error in hypothesis testing? __________________

Accepted Answer

The answer of What is another name for the Type...

Question 11

Using a 5% level of significance and a sample size of 25, what is the critical value for a one-tailed hypothesis test?

Accepted Answer

A)  1.708 
B)  1.711 
C)  2.060 
D)  2.064

Question 12

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. What is the null hypothesis? ____________________

Accepted Answer

The answer of A manufacturer claims that less than 1%...

Question 13

What are the two critical values for a two-tailed test with a 0.01 level of significance when n is large and the population standard deviation is known?

Accepted Answer

A)  Above 1.96 and below -1.96 
B)  Above 1.65 and below -1.65 
C)  Above 2.58 and below -2.58 
D)  Above 1.00 and below -1.00

Question 14

A test statistic is a value computed from sample information and used to test the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 15

A test statistic for a hypothesis, H_o: µ = 10, computes the difference between the hypothesized population mean and the _______________________.

Accepted Answer

The answer of A test statistic for a hypothesis, H_o:...

Question 16

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the p-value?

Accepted Answer

A)  0.3461 
B)  0.1539 
C)  0.3078 
D)  0.0100

Question 17

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. What is your decision if the z-statistic is -1.96 and the level of significance is 0.01? ________________

Accepted Answer

The answer of A manufacturer claims that less than 1%...

Question 18

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. What is the alternate hypothesis? ____________________

Accepted Answer

The answer of A manufacturer claims that less than 1%...

Question 19

The waiting time for patients at local walk-in health clinic follows a normal distribution with a mean of 15 minutes and a population standard deviation of 5 minutes. The quality-assurance department found in a sample of 50 patients that the mean waiting time was 13.25 minutes. At the 0.025 significance level, decide if the sample data support the claim that the mean waiting time is less than 15 minutes. State your decision in terms of the null hypothesis.

Accepted Answer

The answer of The waiting time for patients at local...

Question 20

The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,500 per term, but a financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745 with a standard deviation of $1,200. Let = 0.05. What is the test statistic for this test?

Accepted Answer

A)   $\pm$3.82 
B)  0.204 
C)  -3.82 
D)  +3.82

Exam 10: One-Sample Tests of Hypothesis

Which symbol represents a test statistic used to test a hypothesis about a population mean?

If the null hypothesis is false and the researchers accept it, what error has been made? ____________

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the z-statistic?

For a two-tailed hypothesis test, the test statistic is z = 1.42. What is the p-value?

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. What is the z-statistic? _______________

Assuming that the null hypothesis is true, a p-value is the probability of observing a sample value greater than and/or less than an observed sample observation.

Which of the following is NOT one of the five steps in the hypothesis testing procedure?

It is claimed that in a bushel of peaches, less than ten percent are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the sample proportion?

What is another name for the Type I error in hypothesis testing? __________________

Using a 5% level of significance and a sample size of 25, what is the critical value for a one-tailed hypothesis test?

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. What is the null hypothesis? ____________________

What are the two critical values for a two-tailed test with a 0.01 level of significance when n is large and the population standard deviation is known?

A test statistic is a value computed from sample information and used to test the null hypothesis.

A test statistic for a hypothesis, Ho: µ = 10, computes the difference between the hypothesized population mean and the _______________________.

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the p-value?

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. What is your decision if the z-statistic is -1.96 and the level of significance is 0.01? ________________

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. What is the alternate hypothesis? ____________________

A test statistic for a hypothesis, H_o: µ = 10, computes the difference between the hypothesized population mean and the _______________________.