A psychologist spedalizing in marriage counseling daims 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 210 married couples who completed her program, 161 of them stayed together. Based on this sample, can we
reject the psychologist's claim at the 0.01 level of significance?
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
The null hypothesis:
р
a
P
x
S
The alternative hypothesis:
The type of test statistic:
OSO
DO
Choose one)
>
The value of the test statistic:
(Round to at least three
decimal places.)
0
X
5
?
The p-value:
(Round to at least three 0
decimal places.)
Can we reject the psychologist's claim that the
proportion of married couples for whom her
program can prevent divorce is at least 79%
Yes
No