Question
1 Suppose in a test of hypothesis the probability value (p-value) is 0.0725. Then you should, a reject H at = 0.10, but not reject
1 Suppose in a test of hypothesis the probability value (p-value) is 0.0725. Then you should,
a reject H at = 0.10, but not reject H at = 0.05.
b reject H at = 0.05, but not reject H at = 0.10.
c not reject H at = 0.10.
d reject H at = 0.05.
2 You are asked to perform a hypothesis test that population mean is greater than 80. Which of the following is the correct statement of the null and alternative hypotheses for this test?
a H: > 80 H: 80
b H: 80 H: < 80
c H: 80 H: > 80
d H: 80 H: > 80
3 You are asked to perform a hypothesis test that population mean is at most, or no greater than, 65. Which of the following is the correct statement of the null and alternative hypotheses for this test?
a H: < 65 H: 65
b H: 65 H: < 65
c H: 65 H: > 65
d H: > 65 H: 65
4 You are asked to perform a hypothesis test that population proportion is at least, or no less than, 0.65. Which of the following is the correct statement of the null and alternative hypotheses for this test?
a H: 0.65 H: < 0.65
b H: 0.65 H: > 0.65
c H: > 0.65 H: 0.65
d H: < 0.65 H: 0.65
5 You are asked to perform a hypothesis test that population proportion is different from 0.35. Which of the following is the correct statement of the null and alternative hypotheses for this test?
a H: 0.35 H: = 0.35
b H: = 0.35 H: 0.35
c H: 0.35 H: < 0.35
d H: 0.35 H: > 0.35
6 Which of the following statements about Type I and Type II errors is correct:
A Type I: Reject a true alternative hypothesis. Type II: Do not reject a false alternative.
B Type I: Reject a false null hypothesis. Type II: Reject a true null hypothesis.
C Type I: Reject a true null hypothesis. Type II: Do not reject a false null hypothesis.
D Type I: Do not reject a false null hypothesis. Type II: Reject a true null hypothesis.
7 In a test of hypothesis, the symbol represents:
A The power of the test, or the probability of rejecting a false H.
B The level of significance, or the probability of not rejecting a false H.
C The level of significance, or the probability of committing a Type II error.
D The level of significance, or the probability of rejecting a true H.
Questions 8-12 are related to the following:
Consider the following hypothesis test.
H: 120
H: < 120
8 This test is:
a A lower-tail test.
b An upper-tail test.
c A two-tail test.
d A closed-interval test.
You obtain the following random sample to test the hypothesis in the previous question.
154 118 94 102 157 113 124 115 140
105 125 103 87 95 105 134 133 137
169 135 125 100 130 127 144 122 128
63 101 80 153 82 166 156 101 123
118 133 133 144 114 121 122 133 110
110 134 130 120 79 120 98 173 66
129 116 99 99 92 107 129 75 109
104 148 140 138 119 121 90 131 55
143 92 109 98 159 138 129 169 95
92 118 151 138 120 148 110 103 130
114 58 138 135 92 117 114 123 94
124 108 132 118 121 104 155 89 96
106 123 116 123 85 95 97 96 95
111 136 103 88 109 122 103 128 162
98 97 152 131 72 141 130 128 116
92 123 146 135 114 116 104 97 120
93 70 77 90 131 91 137 85 144
9 The test statistic is, |TS| = _______
a 2.004
b 1.890
c 1.783
d 1.682
10 The critical value for a 5 percent level of significance is:
a 1.655
b 1.761
c 1.873
d 1.993
11 The p-value for the test is,
a 0.0982
b 0.0546
c 0.0303
d 0.0168
12 The test leads you to:
a Reject H at a 10 percent, but do not reject H at a 5 percent level of significance.
b Reject H at a 10 percent, and reject H at a 5 percent level of significance.
c Do not reject H at a 10 percent level of significance.
d Do not reject H at a 5 percent level of significanc
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