Question

In: Math

A psychologist specializing in marriage counseling claims that, among all married couples, the proportion p for...

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 225 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 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:

H0:

The alternative hypothesis:

H1:

The type of test statistic: (Choose one)ZtChi squareF
The value of the test statistic:
(Round to at least three decimal places.)
The p-value:
(Round to at least three 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

76%

?
Yes No

Solutions

Expert Solution

No.We can't reject the psychologist's claim that the proportion of married couples for whom her program can prevent divorce is at least 76%.


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