A marriage counselor has traditionally seen that theproportionp

of all married couples for whom her communication program can prevent divorce is79

%

. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than79

%

of married couples. In a random sample of245

married couples who completed her program,196

of them stayed together. Based on this sample, is there enough evidence to support the marriage counselor's claim at the0.05

level of significance?

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

Carry your intermediate computations to three or more decimal places. (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.)