Statistics For Management And Economics Abbreviated Edition 9th Edition By Gerald Keller – Test Bank

CHAPTER 11 SECTION 2: INTRODUCTION TO HYPOTHESIS TESTING

TRUE/FALSE

56. The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed given that the null hypothesis is true.

ANS: T PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

57. A p-value is usually set at 0.05.

ANS: F PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

58. The p-value of a test is the smallest  at which the null hypothesis can be rejected.

ANS: T PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

59. The p-value is the probability that the null hypothesis is true.

ANS: F PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

60. In order to determine the p-value, it is necessary to know the level of significance.

ANS: F PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

61. A one-tail p-value is two times the size of a two-tail test.

ANS: F PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

62. In a one-tail test, the p-value is found to be equal to 0.054. If the test had been two-tail, then the p-value would have been 0.027.

ANS: F PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

63. For a given level of significance, if the sample size is increased, the probability of committing a Type II error will decrease.

ANS: T PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

64. The critical values will bound the rejection and non-rejection regions for the null hypothesis.

ANS: T PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

65. If we do not reject the null hypothesis, we conclude that there is enough statistical evidence to infer that the null hypothesis is true.

ANS: F PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

66. If a null hypothesis is rejected at the 0.05 level of significance, it must be rejected at the 0.025 level.

ANS: F PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

67. A sample is used to obtain a 95% confidence interval for the mean of a population. The confidence interval goes from 78.21 to 87.64. If the same sample had been used to test the null hypothesis that the mean of the population differs from 90, the null hypothesis could be rejected at a level of significance of 0.05.

ANS: T PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

68. If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.

ANS: T PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

69. If your p-value is greater than 0.900 you should reject H0 at the 0.10 level.

ANS: F PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing

70. A p-value is a probability, and must be between 0 and 1.

ANS: T PTS: 1 REF: SECTION 11.2
NAT: Analytic; Hypothesis Testing