Among a simple random sample of 331 American adults who do not have 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 newspaper article states that only a majority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from the survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement.
(d) Would you expect a confidence interval for the proportion of Americans adults who decide not to go to college because they cannot afford it to include 0.5?
(e) Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it, and interpret the interval.
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 newspaper article states that only a majority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from the survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement.
(a) What are the hypotheses for evaluating this test?
(b) The test statistic is?
(c) Based on the p-value for this test, what is the conclusion?
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