20A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 76%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than 76% of married couples. In a random sample of 205 married couples who completed her program, 172 of them stayed together. Based on this sample, is there enough evidence to support the marriage counselor’s claim at the 0.05 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 a list of formulas.)(a)State the null hypothesis H0 and the alternative hypothesis H1.H0:H1:(b)Determine the type of test statistic to use. (Choose one ) z Or t OR chi-square Or f(c)Find the value of the test statistic. (Round to three or more decimal places.)(d)Find the p-value. (Round to three or more decimal places.)