The American College Health Association produced the National College Health Assessment (Andy Gardiner, Surfacing from Depression, February 6, 2006). The assessment indicates that the percentage of U.S.
college students who report having been diagnosed with depression has risen from 2000. The assessment surveyed 47,202 students at 74 campuses. It discovered that 10.3 and 14.9 of students indicated that they had been diagnosed with depression in 2000 and 2004, respectively. Assume that half of the students surveyed were surveyed in 2004.Conduct a hypothesis test to determine if there has been more than a 0.04 increase in the proportion of students who indicated they have been diagnosed with depression. Use a significance level of 0.05 and a p-value approach to this test.A) Since p-value = 0.065 > 0.05, do not reject H0. There is not sufficient evidence to conclude that there has been more than a 0.04 increase in the proportion of students that indicate they have been diagnosed with depression.
B) Since p-value = 0.025 < 0.05, reject H0. There is sufficient evidence to conclude that there has been more than a 0.04 increase in the proportion of students that indicate they have been diagnosed with depression.
C) Since p-value = 0.072 < 0.05, reject H0. There is sufficient evidence to conclude that there has been more than a 0.04 increase in the proportion of students that indicate they have been diagnosed with depression.
D) Since p-value = 0.071 > 0.05, do not reject H0. There is not sufficient evidence to conclude that there has been more than a 0.04 increase in the proportion of students that indicate they have been diagnosed with depression.
Question 2
Past experience indicates that the variance in the time it takes for a fast lube operation to actually complete the lube and oil change for customers is 9.00 minutes.
The manager wishes to estimate the mean time with 99 percent confidence and a margin of error of 0.50 minutes. Given this, what must the sample size be?A) n = 239
B) n = 2149
C) n = 139
D) n = 1245
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