A psychologist specializing in marriage counseling claims that, among all married couples, theproportion p for whom her communication program canprevent divorce is at least 78%. In a random sample of 215 married coupleswho completed her program, 152 of them stayed together. Based on this sample, can we reject the psychologist's claim at the 0.1 level of significance?

Perform a one-tailed test. Then answer the following questions.

1) What is the null hypothesis?

2) what is the alternative hypothesis?

3) What type of test statistic? Z, t, Chi square or F

4) The value of the test statistic: (Round to at least three decimal places)

5) The p-value:(Round to at least three decimal places)

6) Can we reject the psychologist's claim that the proportion of married couples for whom her program can prevent divorce is at least 78%? Yes or No