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 76%. In a random sample of 245 married couples who completed her program, 168 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-tailed test. Then answer/fill in the below:

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

a) null hypothesis?

b) alternative hypothesis?

c) type of test statistic?

d) the value of the test statistic (round to 3 decimal places)?

e) the p-value (round to 3 decimal places)?

f) Can we reject the psychologist's claim that the proportion of married couples for whom her program can prevent divorce is at least 76%?