Question

Is college worth it? Part I: Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school.

(a) A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement. The hypotheses for this test are:

A. Ho: p = .5 Ha: p < .5

B. Ho: p = .5 Ha: p ≠ .5

C. Ho: p = .5 Ha: p > .5

The test statistic is: (_____) The p-value associated with this hypothesis test is: (_____) What is the conclusion of the hypothesis test?

A. Since p ≥ α we accept the null hypothesis

B. Since p<α we reject the null hypothesis and accept the alternative

C. Since p ≥ α we do not have enough evidence to reject the null hypothesis

D. Since p<α we fail to reject the null hypothesis

E. Since p ≥ α we reject the null hypothesis and accept the alternative

Interpret the result of the test in the context of this study and article:

A. The data do not provide sufficient evidence to claim that only a minority of Americans who choose not to go to college do so because they cannot afford it

B. The data provide sufficient evidence to claim that only a minority of Americans who choose not to go to college do so because they cannot afford it

(b) Would you expect a confidence interval for the proportion of American adults who decide not to go to college because they cannot afford it to include 0.5?

A. yes

B. no

Answer 1

C. Since p ≥ α we do not have enough evidence to reject the null hypothesis

A. The data do not provide sufficient evidence to claim that only a minority of Americans who choose not to go to college do so because they cannot afford it

A. yes