A presidential candidate's aide estimates that, among all college students, theproportionp

who intend to vote in the upcoming election is at most75

%

. If216

out of a random sample of275

college students expressed an intent to vote, can the aide's estimate be rejected at the0.01

level of significance?

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult alist of formulas.)

(a)State the null hypothesisH

0

and the alternative hypothesisH

1

.H

0

:

H

1

:

(b)Determine the type of test statistic to use.

(Choose one)

(c)Find the value of the test statistic. (Round to three or more decimal places.)

(d)Find thep-value. (Round to three or more decimal places.)

(e)Can we reject the aide's estimate that the proportion of college students who intend to vote is at most75

%

?YesNo