decided not to go to college because they could not
6.16 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:
___Ho: p = .5
Ha: p > .5
___Ho: p = .5
Ha: p ≠ .5
___Ho: p = .5
Ha: p < .5
The test statistic is: (please round to two decimal places) The p-value associated with this hypothesis test is: (please round to four decimal places) What is the conclusion of the hypothesis test? Circe one
- Since p ≥ α we do not have enough evidence to reject the null hypothesis
- Since p<α we fail to reject the null hypothesis
- Since p ≥ α we reject the null hypothesis and accept the alternative
- Since p<α we reject the null hypothesis and accept the alternative
- Since p ≥ α we accept the null hypothesis
Interpret the result of the test in the context of this study and article: Circle one
- 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
- 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) 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?
- yes
- no
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
