8. An economist believes the proportion of graduates of business programs in the population that save for retirement exceeds the proportion of graduates from liberal arts programs in the population that save for retirement. A random sample of 200 business graduates is taken and 148 save for retirement. A random sample of 400 liberal arts graduates is taken and 272 save for retirement. Test the hypothesis at the 0.05 level.
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Step 1: Let $p_1$ be the proportion of business graduates who save for retirement and $p_2$ be the proportion of liberal arts graduates who save for retirement. Show more…
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Adi S.
A study was recently conducted at a major university to determine whether there is a difference in the proportion of business school graduates who go on to graduate school within five years after graduation and the proportion of non-business school graduates who attend graduate school. A random sample of 400 business school graduates showed that 70 had gone to graduate school while, in a random sample of 500 non-business graduates, 128 had gone on to graduate school. a. Based on these sample data, and a 0.08 level of significance, conduct an appropriate test statistic? b. What is the p-value for the test you have conducted in part "a".
Dominador T.
Suppose a liberal arts university has long boasted that 65% of its graduating students go on to graduate school. The school decides to perform a hypothesis test to see if it is exaggerating. It samples 300 recent graduates and finds that 165 of them went on to graduate school. A. Describe the population that is sampled. B. Perform a one-tailed hypothesis test placing the university's boast within the null hypothesis. Use a level of significance of 0.05. C. Are we concluding that the difference between the test statistic and population proportion reflects sampling error? D. Should the school continue boasting that sixty-five percent of its graduates go immediately on to graduate school?
Rosina D.
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