CHAPTER 11—COMPARISONS INVOLVING PROPORTIONS AND A TEST

61. Refer to Exhibit 11-8. The p-value is a. between .1 and .05 b. between .05 and .025 c. between .025 and .01 d. less than 0.005 NARRBEGIN: Exhibit 11-9 Exhibit 11-9 When individuals in a sample were asked whether or not they supported candidate A the following information was obtained. Do you support Candidate A? Number of individuals Yes 45 No 50 No Opinion 25 We are interested in determining whether or not the opinions of the individuals (as to Yes No and No Opinion) are uniformly distributed. NARREND 62. Refer to Exhibit 11-9. The expected frequency for each group is a. 0.333 b. 0.50 c. 1/3 d. 40 63. Refer to Exhibit 11-9. The calculated value for the test statistic equals a. 2.5 b. -2.5 c. 5.625 d. 8.75 64. Refer to Exhibit 11-9. The number of degrees of freedom associated with this problem is a. 150 b. 149 c. 2 d. 3 65. Refer to Exhibit 11-9. The p-value is a. larger than 0.1 b. less than 0.1 c. less than 0.05 d. larger than 0.9 66. Refer to Exhibit 11-9. The conclusion of the test (at 95% confidence) is that the a. distribution is uniform b. distribution is not uniform c. test is inconclusive d. None of these alternatives is correct. NARRBEGIN: Exhibit 11-10 Exhibit 11-10 Last school year the student body of a local university consisted of 32% freshmen 20% sophomores 28% juniors and 20% seniors. A sample of 400 students taken from this year’s student body showed the following number of students in each classification. Freshmen 110 Sophomores 97 Juniors 98 Seniors 95 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. NARREND 67. Refer to Exhibit 11-10. The expected number of freshmen is a. 110 b. 128 c. 30 d. 10 68. Refer to Exhibit 11-10. The expected frequency of seniors is a. 80 b. 20% c. 95 d. 64 69. Refer to Exhibit 11-10. The calculated value for the test statistic equals a. 1 b. 400 c. 10.71 d. 2.81 70. Refer to Exhibit 11-10. The p-value is a. less than .05 b. between .025 and 0.05 c. between .05 and 0.1 d. greater than 0.1 71. Refer to Exhibit 11-10. At 95% confidence the null hypothesis a. should not be rejected b. should be rejected c. was designed wrong d. None of these alternatives is correct. NARRBEGIN: Exhibit 11-11 Exhibit 11-11 The following shows the number of individuals in a sample of 300 who indicated they support the new tax proposal. Political Party Support Democrats 100 Republicans 120 Independents 80 We are interested in determining whether or not the opinions of the individuals of the three groups are uniformly distributed. NARREND 72. Refer to Exhibit 11-11. The expected frequency for each group is a. 0.333 b. 0.50 c. 50 d. None of these alternatives is correct. 73. Refer to Exhibit 11-11. The calculated value for the test statistic equals a. 300 b. 4 c. 0 d. 8 74. Refer to Exhibit 11-11. The number of degrees of freedom associated with this problem is a. 2 b. 3 c. 300 d. 299