Part (e). Is there enough evidence to support the marriage counselors claim that the proportion of married couples for whom her program can prevent divorce is more than 77%?

A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 77%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than 77% of married couples. In a random sample of 225 married couples who completed her program, 179 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 Ho and the alternative hypothesis H. O Ho : I X S p H :I (b) Determine the type of test statistic to use. (Choose one) -0 050 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) X (d) Find the p-value. (Round to three or more decimal places.) Explanation Check