SOLUTION: 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

Question 1176455: 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
The test statistic is: (please round to two decimal places)
The p-value associated with this hypothesis test is: Incorrect (please round to four decimal places)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
the test statistic is a z=(p hat-p)/sqrt(p(1-p)/n)
=-.02/sqrt(.25/331)
=-0.73
p-value is z <-0.73 or 0.2334
The calculator will give a slightly different answer, because one has to calculate 48% of 331 which is 159 to the nearest integer (dealing with people), not the 158.88 mathematically.

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