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In the past of all the students enrolled in basic

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Unformatted text preview: . Dr Johnson is a new professor teaching "Basic Business Statistics" for the first time this semester. At the conclusion of the semester, in Dr. Johnson's class of 60 students, there were 10 A's, 20 B's, 20 C's, 5 D's and 5 W's or F's. Assume that Dr. Johnson's class constitutes a random sample. Dr Johnson wants to know if there is sufficient evidence to conclude that the grade distribution of his class is different than the historical grade distribution. At α = .05, test to determine if the grade distribution for Dr. Johnson's class is different than the historical grade distribution. A. Reject H0 B. Fail to reject H0 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 1 Topic: Chi-Square 1-1121 Chapter 01 - An Introduction to Business Statistics 77. In the past, of all the students enrolled in "Basic Business Statistics" 10% earned A's 20% earned B's, 30% earned C's, 20% earned D's and the rest either failed or withdrew from the course. Dr Johnson is a new professor teaching "Basic Business Statistics" for the first time this semester. At the conclusion of the semester, in Dr. Johnson's class of 60 students, there were 10 A's, 20 B's, 20 C's, 5 D's and 5 W's or F's. Assume that Dr. Johnson's class constitutes a random sample. Dr Johnson wants to know if there is sufficient evidence to conclude that the grade distribution of his class is different than the historical grade distribution. If we assume at = .05 that the null hypothesis is rejected, make a one-sentence managerial conclusion. A. Dr. Johnson's class grades don't differ from the historical course grade distribution. B. Dr. Johnson's class grades are higher than the historical course grade distribution. C. Dr. Johnson's class grades are Lower than the historical course grade distribution. D. We cannot draw a conclusion about the difference between Dr. Johnson's grades and the historical course grade distribution. AACSB: Reflective Thinking Bloom's: Analysis Difficulty: Medium Learning Objective: 1 Topic: Chi-Square 1-1122 Chapter 01 - An Introduction to Business Statistics 78. On the most recent tax cut proposal, a random sample of Democrats and Republicans in the Congress cast their votes as follows: Determine the expected frequencies for both the Democrats and Republicans who favor the tax cut proposal for the chi-square test of independence. A. 85, 118 B. 67.3, 67.3 C. 100.5, 102.5 D. 169.2, 234.8 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 3 Topic: Chi-Square 1-1123 Chapter 01 - An Introduction to Business Statistics 79. On the most recent tax cut proposal, a random sample of Democrats and Republicans in the Congress cast their votes as follows: Determine the expected frequencies for both the Democrats and Republicans who oppose the tax cut proposal for the chi-square test of independence. A. 68.8, 70.2 B. 67.3, 67.3 C. 78, 61 D. 69.5, 69.5 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 3 Topic: Chi-Square 80. At a significance level of .01, determine the appropriate degrees of freedom and the rejection point condition for this test. A. 5, 15.1 B. 1, 6.63 C. 6, 16.8 D. 2, 9.21 χ2 .01,2 = 9.21 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 3 Topic: Chi-Square 1-1124 Chapter 01 - An Introduction to Business Statistics 81. On the most recent tax cut proposal, a random sample of Democrats and Republicans in the Congress cast their votes as follows: Calculate the chi-square statistic for this test of independence. A. 9.51 B. 9.73 C. 10.33 D. 0.15 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 3 Topic: Chi-Square 1-1125 Chapter 01 - An Introduction to Business Statistics 82. On the most recent tax cut proposal, a random sample of Democrats and Republicans in the Congress cast their votes as follows: Use a significance level of .01 and determine if the opinions on the tax cut proposal and the party affiliation are independent. A. Reject H0 B. Fail to reject H0 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 3 Topic: Chi-Square 1-1126 Chapter 01 - An Introduction to Business Statistics 83. On the most recent tax cut proposal, a random sample of Democrats and Republicans in the Congress cast their votes as follows: Suppose, the Chi-square test of independence is performed and the null hypothesis is rejected that the vote on the issue and party affiliation are independent. Provide a one-sentence interpretation of the outcome of the test. A. The party affiliation is not independent of the votes on the tax cut proposal. B. How votes are cast on the tax cut proposal are independent of the party affiliation. C. Party affiliation does not affect how individuals vote on the tax cut proposal. D. There is insufficient evidence to determine a correlation between party affiliation and the congressman's opinion on the tax cut proposal. AACSB: Reflective Thinking Blo...
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