Question

Is college worth it?

Among a simple random sample of 306

American adults who do not have a four-year college degree and are not currently enrolled in school, 45% 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. Use a significance level of α=0.04.

H0:prop = ____
HA:prop < ____
p-value:
Based on this information, we may Accept/Reject

(b) Calculate a 91% confidence interval for the proportion of Americans who decided not to go to college because they could not afford school.
( , )

Answer 1

a)

from above

H0:prop = 0.5
HA:prop < 0.5

p value =0.0401

we may Accept

b)

91% confidence interval for the proportion of Americans who decided not to go to college because they could not afford school =0.402 , 0.498