A psychologist specializing in marriage counseling claims that, among all married couples, the proportion p for whom her communication program can prevent divorce is at least 79%. In a random sample of 220 married couples who completed her program, 172 of them stayed together. Based on this sample, can we reject the psychologist's claim at the 0.05 level of significance? Perform a one-talled 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 a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. H :0 (b) Determine the type of test statistic to use. D-O OsO (Choose one) Y (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.) (e) Can we reject the psychologist's claim that the proportion of married couples for whom her program can prevent divorce is at least 79%? O Yes ONo

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