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Taking a random sample of 20 commuters she calculates

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Unformatted text preview: tics 133. In an early study, researchers at an Ivy University found that 33% of the freshmen had received at least one A in their first semester. Administrators are concerned that grade inflation has caused this percentage to increase. In a more recent study, of a random sample of 500 freshmen, 185 had at least one A in their first semester. Calculate the appropriate test statistic to test the hypotheses. A. 1.853 B. 1.157 C. 1.902 D. 2.710 E. -1.902 134. In an early study, researchers at an Ivy University found that 33% of the freshmen had received at least one A in their first semester. Administrators are concerned that grade inflation has caused this percentage to increase. In a more recent study, of a random sample of 500 freshmen, 185 had at least one A in their first semester. Calculate the p-value associated with the test statistic. A. .0034 B. .0287 C. .0322 D. .0547 E. .1230 135. The university registrar claims that fewer than 20 percent of the students who enroll at Ivy University graduate in four years. To test this claim, a random sample of 100 students was selected, and 18 were found to have graduated in four years. Calculate the appropriate test statistic to test the hypotheses. A. 5.00 B. 0.50 C. 0.212 D. -0.50 E. -1.00 1-747 Chapter 01 - An Introduction to Business Statistics 136. The university registrar claims that fewer than 20 percent of the students who enroll at Ivy University graduate in four years. To test this claim, a random sample of 100 students was selected, and 18 were found to have graduated in four years. Calculate the p-value associated with the test statistic. A. 0.1587 B. 0.3085 C. 0.4168 D. 0.0001 E. -0.3085 137. Last year, KAAA's share of the 6 pm news audience was approximately equal to, but not greater than, 25 percent. This station's advertising department believes the current audience share is higher than last year's 25 percent share. In an attempt to substantiate this belief, the station surveyed a random sample of 400 6 pm viewers and found that 146 watched KAAA. Calculate the appropriate test statistic to test the hypotheses. A. -5.31 B. -4.69 C. 3.21 D. 4.69 E. 5.31 138. Last year, KAAA's share of the 6 pm news audience was approximately equal to, but not greater than, 25 percent. This station's advertising department believes the current audience share is higher than last year's 25 percent share. In an attempt to substantiate this belief, the station surveyed a random sample of 400 6 pm viewers and found that 146 watched KAAA. Find the critical value for testing these hypotheses at α = .001. A. 3.09 B. 2.575 C. 2.33 D. 1.96 E. 3.00 1-748 Chapter 01 - An Introduction to Business Statistics 139. Failure to meet payments on student loans guaranteed by the US government has been a major problem for both banks and the government. Approximately 50% of all student loans guaranteed by the government are in default. A random sample of 350 loans to college students in one region of the US indicates that 147 are in default. Calculate the appropriate test statistic to test the hypotheses. A. 2.99 B. 3.03 C. -2.99 D. -3.03 E. -1.94 140. Failure to meet payments on student loans guaranteed by the US government has been a major problem for both banks and the government. Approximately 50% of all student loans guaranteed by the government are in default. A random sample of 350 loans to college students in one region of the US indicates that 147 are in default. Calculate the p-value associated with the test statistic. A. .0028 B. .0262 C. .0525 D. .0014 E. .0012 141. Failure to meet payments on student loans guaranteed by the US government has been a major problem for both banks and the government. Approximately 50% of all student loans guaranteed by the government are in default. A random sample of 350 loans to college students in one region of the US indicates that 147 are in default. Calculate an interval that tests the hypotheses at α = .01. A. [.35 .49] B. [.37 .47] C. [.33 .51] D. [.34 .50] E. [.36 .48] 1-749 Chapter 01 - An Introduction to Business Statistics 142. A survey of the wine market has shown that the preferred wine for 17% of Americans is merlot. A wine producer in California where merlot is produced believes the figure is higher in California. She contacts a random sample of 550 California residents and asks which wine they purchase most often. Suppose 115 replied that merlot was the primary wine. Calculate the appropriate test statistic to test the hypotheses. A. 2.25 B. 2.44 C. 1.11 D. -2.25 E. -2.44 143. A survey of the wine market has shown that the preferred wine for 17% of Americans is merlot. A wine producer in California where merlot is produced believes the figure is higher in California. She contacts a random sample of 550 California residents and asks which wine they purchase most often. Suppose 115 replied that merlot was the primary wine. Calculate the p-value associated with the test statistic. A. .0146 B. .0122 C. .0073 D. .1335 E. .0244 144. One survey conducted by a major leasing company determined that the Lexus is t...
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