1. The null hypothesis is a claim about a:
A) parameter, where the claim is assumed to be false until it is declared true
B) parameter, where the claim is assumed to be true until it is declared false
C) statistic, where the claim is assumed to be false until it is declared true
D) statistic, where the claim is assumed to be true until it is declared false
2. The alternative hypothesis is a claim about a:
A) parameter, where the claim is assumed to be true until it is declared false
B) parameter, where the claim is assumed to be true if the null hypothesis is declared
false
C) statistic, where the claim is assumed to be true if the null hypothesis is declared
false
D) statistic, where the claim is assumed to be false until it is declared true
3. In a one-tailed hypothesis test, a critical point is a point that divides the area under the
sampling distribution of a:
A) statistic into one rejection region and one nonrejection region
B) parameter into one rejection region and one nonrejection region
C) statistic into one rejection region and two nonrejection regions
D) parameter into two rejection regions and one nonrejection region
4. In a two-tailed hypothesis test, the two critical points are the points that divide the area
under the sampling distribution of a:
A) statistic into two rejection regions and one nonrejection region
B) parameter into one rejection region and one nonrejection region
C) statistic into one rejection region and two nonrejection regions
D) parameter into two rejection regions and one nonrejection region
5. In a hypothesis test, a Type I error occurs when:
A) a false null hypothesis is rejected C) a false null hypothesis is not rejected
B) a true null hypothesis is not rejected D) a true null hypothesis is rejected
Chapter 9
6. In a hypothesis test, a Type II error occurs when:
A) a false null hypothesis is rejected C) a false null hypothesis is not rejected
B) a true null hypothesis is not rejected D) a true null hypothesis is rejected
7. In a hypothesis test, the probability of committing a Type I error is called the:
A) confidence level B) confidence interval C) significance level D) beta
error
8. A one-tailed hypothesis test contains:
A) one rejection region and two nonrejection regions
B) two rejection regions and one nonrejection region
C) two rejection regions and two nonrejection regions
D) one rejection region and one nonrejection region
9. A two-tailed hypothesis test contains:
A) one rejection region and two nonrejection regions
B) two rejection regions and one nonrejection region
C) two rejection regions and two nonrejection regions
D) one rejection region and one nonrejection region
10. In a left-tailed hypothesis test, the sign in the alternative hypothesis is:
A) not equal to
( )
C) less than
( )
B) greater than
( )
D) less than or equal to
( )
11. In a right-tailed hypothesis test, the sign in the alternative hypothesis is:
A) not equal to
( )
C) less than
( )
B) greater than
( )
D) less than or equal to
( )
Chapter 9
12. In a two-tailed hypothesis test, the sign in the alternative hypothesis is:
A) not equal to
( )
C) less than
( )
B) greater than
( )
D) less than or equal to
( )
13. A researcher wants to test if the mean price of houses in an area is greater than $145,000.
The alternative hypothesis for this example will be that the population mean is:
A) equal to $145,000 C) greater than or equal to $145,000
B) not equal to $145,000 D) greater than $145,000
14. A researcher wants to test if the mean price of houses in an area is greater than $175,000.
The null hypothesis for this example will be that the population mean is:
A) less than or equal to $175,000 C) greater than or equal to $175,000
B) not equal to $175,000 D) greater than $175,000
15. A researcher wants to test if the mean annual salary of all lawyers in a city is different
than $110,000. The alternative hypothesis for this example will be that the population
mean is:
A) equal to $110,000 C) not equal to $110,000
B) less than to $110,000 D) greater than $110,000
16. A researcher wants to test if the mean annual salary of all lawyers in a city is different
than $110,000. The null hypothesis for this example will be that the population mean is:
A) equal to $110,000 C) not equal to $110,000
B) less than to $110,000 D) greater than $110,000
17. A researcher wants to test if elementary school children spend less than 30 minutes per
day on homework. The alternative hypothesis for this example will be that the population
mean is:
A) equal to 30 minutes C) less than or equal to 30 minutes
B) not equal to 30 minutes D) less than 30 minutes
Chapter 9
18. A researcher wants to test if elementary school children spend less than 30 minutes per
day on homework. The null hypothesis for this example will be that the population mean
is:
A) greater than or equal to 30 minutes C) less than or equal to 30 minutes
B) not equal to 30 minutes D) less than 30 minutes
19. The p-value is the:
A) largest significance level at which the null hypothesis can be rejected
B) largest significance level at which the alternative hypothesis can be rejected
C) smallest significance level at which the null hypothesis can be rejected
D) smallest significance level at which the alternative hypothesis can be rejected
20. For a one-tailed test, the p-value is:
A) the area under the curve between the mean and the observed value of the sample
statistic
B) twice the area under the curve between the mean and the observed value of the
sample statistic
C) the area under the curve to the same side of the value of the sample statistic as is
specified in the alternative hypothesis
D) twice the area under the curve to the same side of the value of the sample statistic
as is specified in the alternative hypothesis
21. For a two-tailed test, the p-value is:
A) the area under the curve between the mean and the observed value of the sample
statistic
B) twice the area under the curve between the mean and the observed value of the
sample statistic
C) the area in the tail under the curve on the side which the sample statistic lies
D) twice the area in the tail under the curve on the side which the sample statistic lies
Chapter 9
22. The following four steps must be taken to perform a hypothesis test using the p-value
approach:
1. Calculate the p-value.
2. Select the distribution to use.
3. Make a decision.
4. State the null and alternative hypotheses and determine the significance level.
The correct order for performing these steps is:
A) 4, 1, 2, 3 B) 2, 3, 1, 4 C) 4, 2, 1, 3 D) 3, 2, 1, 4
23. A two-tailed hypothesis test using the normal distribution reveals that the area under the
sampling distribution curve of the mean and located to the right of the sample mean
equals 0.032. Consequently, the p-value for this test equals:
24. The following five steps must be taken to perform a hypothesis test using the
critical–value approach:
1. Calculate the value of the test statistic.
2. Select the distribution to use.
3. Make a decision.
4. Determine the rejection and nonrejection regions.
5. State the null and alternative hypotheses and determine the significance level.
The correct order for performing these steps is:
A) 4, 1, 2, 3, 5 B) 5, 2, 4, 1, 3 C) 5, 4, 2, 1, 3 D) 5, 1, 2, 3, 4
25. Suppose that the batting average for all major league baseball players after each team
completes 100 games through the season is 0.248 and the standard deviation is 0.034.
The null hypothesis is that American League infielders average the same as all other
major league players. A sample of 46 players taken from the American League reveals a
mean batting average of 0.255. What is the value of the test statistic, z (rounded to two
decimal places)?
Chapter 9
26. In a hypothesis test with hypotheses
0: 60H
=
and
1: 60H
, a random sample of
37 elements selected from the population produced a mean of 62.5. Assuming that
=
5.2 and the population is normally distributed, what is the approximate p-value for
this test? (round your answer to four decimal places)
27. In a hypothesis test with hypotheses
0: 37H
and
1: 37H
, a random sample of
59 elements selected from the population produced a mean of 35.8. Assuming that
=
9.9, what is the approximate p-value for this test? (round your answer to four decimal
places)
28. In a hypothesis test with hypotheses
0: 125H
and
1: 125H
, a random sample of
131 elements selected from the population produced a mean of 131.6. Assuming that
=
18.8, what is the approximate p-value for this test? (round your answer to four
decimal places)
29. In a hypothesis test with hypotheses
0: 75H
=
and
1: 75H
, a random sample of
38 elements selected from the population produced a mean of 74.4. Assuming that
=
8.9 and the population is normally distributed, what is the approximate p-value for
this test? (round your answer to four decimal places)
30. In a hypothesis test with hypotheses
0: 140H
and
1: 140H
, a random sample of
100 elements selected from the population produced a mean of 137.0. Assuming that
=
28.1, what is the approximate p-value for this test? (round your answer to four
decimal places)
Chapter 9
31. In a hypothesis test with hypotheses
0: 90H
and
1: 90H
, a random sample of
61 elements selected from the population produced a mean of 90.7. Assuming that
=
29.8, what is the approximate p-value for this test? (round your answer to four
decimal places)
Use the following to answer questions 32-35:
In a hypothesis test with hypotheses
0: 80H
and
1: 80H
, a random sample of 99
elements selected from the population produced a mean of 75.3. Assume that
=
24.6, and that
the test is to be made at the 5% significance level.
32. What is the critical value of z?
A) 1.88 B) 2.17 C) -1.88 D) -2.17
33. What is the value of the test statistic, z, rounded to three decimal places?
34. What is the p-value for this hypothesis test, rounded to four decimal places?
35. Should you reject or fail to reject the null hypothesis in this test? (State your answer as
“reject” or “fail to reject”, but don’t include the quotation marks.)
Use the following to answer questions 36-39:
In a hypothesis test with hypotheses
0: 45H
and
1: 45H
, a random sample of 67
elements selected from the population produced a mean of 46.0. Assume that
=
6.9, and that
the test is to be made at the 2.5% significance level.
36. What is the critical value of z?
A) -1.96 B) 1.65 C) 1.96 D) -1.65
Chapter 9
37. What is the value of the test statistic, z, rounded to three decimal places?
38. What is the p-value for this hypothesis test, rounded to four decimal places?
39. Should you reject or fail to reject the null hypothesis in this test? (State your answer as
“reject” or “fail to reject”, but don’t include the quotation marks.)
Use the following to answer questions 40-43:
In a hypothesis test with hypotheses
0: 24H
=
and
1: 24H
, a random sample of 38
elements selected from the population produced a mean of 26.0. Assume that
=
4.4, and that
the test is to be made at the 5% significance level.
40. What are the critical values of z?
A) -2.07 and 2.07 C) -1.645 and 1.645
B) -1.96 and 1.96 D) -2.33 and 2.33
41. What is the value of the test statistic, z, rounded to three decimal places?
42. What is the p-value for this hypothesis test, rounded to four decimal places?
43. Should you reject or fail to reject the null hypothesis in this test? (State your answer as
“reject” or “fail to reject”, but don’t include the quotation marks.)
Chapter 9
Use the following to answer questions 44-47:
In a hypothesis test with hypotheses
0: 136H
and
1: 136H
, a random sample of 68
elements selected from the population produced a mean of 133.4. Assume that
=
21.4, and that
the test is to be made at the 3% significance level.
44. What is the critical value of z?
A) 1.96 B) -1.96 C) -1.645 D) 1.645
45. What is the value of the test statistic, z, rounded to three decimal places?
46. What is the p-value for this hypothesis test, rounded to four decimal places?
47. Should you reject or fail to reject the null hypothesis in this test? (State your answer as
“reject” or “fail to reject”, but don’t include the quotation marks.)
Use the following to answer questions 48-51:
In a hypothesis test with hypotheses
0: 50H
and
1: 50H
, a random sample of 113
elements selected from the population produced a mean of 52.3. Assume that
=
22.0, and that
the test is to be made at the 2% significance level.
48. What is the critical value of z?
A) 2.17 B) 1.88 C) -1.28 D) -1.88
49. What is the value of the test statistic, z, rounded to three decimal places?
Chapter 9
50. What is the p-value for this hypothesis test, rounded to four decimal places?
51. Should you reject or fail to reject the null hypothesis in this test? (State your answer as
“reject” or “fail to reject”, but don’t include the quotation marks.)
Use the following to answer questions 52-55:
In a hypothesis test with hypotheses
0: 90H
=
and
1: 90H
, a random sample of 103
elements selected from the population produced a mean of 94.3. Assume that
=
22.1, and that
the test is to be made at the 5% significance level.
52. What are the critical values of z?
A) -1.645 and 1.645 C) -2.33 and 2.33
B) -2.05 and 2.05 D) -2.58 and 2.58
53. What is the value of the test statistic, z, rounded to three decimal places?
54. What is the p-value for this hypothesis test, rounded to four decimal places?
55. Should you reject or fail to reject the null hypothesis in this test? (State your answer as
“reject” or “fail to reject”, but don’t include the quotation marks.)
Chapter 9
Use the following to answer questions 56-59:
A researcher wants to test if the mean price of houses in an area is greater than $145,000. A
random sample of 35 houses selected from the area produces a mean price of $149,700. Assume
that
=
$13,100, and that the test is to be made at the 1% significance level.
56. What is the critical value of z?
A) 1.88 B) 2.17 C) 1.96 D) 2.58
57. What is the value of the test statistic, z, rounded to three decimal places?
58. What is the p-value for this hypothesis test, rounded to four decimal places?
59. Should you reject or fail to reject the null hypothesis in this test? (State your answer as
“reject” or “fail to reject”, but don’t include the quotation marks.)
Use the following to answer questions 60-63:
A researcher wants to test if the mean annual salary of all lawyers in a city is different from
$110,000. A random sample of 53 lawyers selected from the city reveals a mean annual salary of
$114,000. Assume that
=
$17,000, and that the test is to be made at the 1% significance level.
60. What are the critical values of z?
A) -1.96 and 1.96 B) -2.58 and 2.58 C) -2.33 and 2.33 D) -2.05 and 2.05
61. What is the value of the test statistic, z, rounded to three decimal places?