Question

Among a simple random sample of 318 American adults who do not have a four-year college degree and are not currently enrolled in school, 133 said they decided not to go to college because they could not afford school. Round answers to 4 decimal places.

1. 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. What are the correct hypotheses for conducting a hypothesis test to determine if these data provide strong evidence supporting this statement?

A. ?0:?=0.5H0:p=0.5, ??:?≠0.5HA:p≠0.5
B. ?0:?=0.5H0:p=0.5, ??:?<0.5HA:p<0.5
C. ?0:?=0.5H0:p=0.5, ??:?>0.5HA:p>0.5

2. Calculate the test statistic for this hypothesis test. z=

3. Calculate the p-value for this hypothesis test.

Based on the p-value, we have:
A. extremely strong evidence
B. little evidence
C. strong evidence
D. some evidence
E. very strong evidence
that the null model is not a good fit for our observed data.

Answer 1

The answers are obtained using R-software. The code and output are attached below.