A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 76%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than 76% of married couples. In a random sample of 205 married couples who completed her program, 171 of them stayed together. Based on this sample, is there enough evidence to support the marriage counselor’s claim at the 0.05 level of significance? Perform a one-tailed test.
A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 76%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than 76% of married couples. In a random sample of 205 married couples who completed her program, 171 of them stayed together. Based on this sample, is there enough evidence to support the marriage counselor’s claim at the 0.05 level of significance?
Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
(For z test statistics) every expert has gotten the z test statistic wrong thus far. I have included pictures of a sample problem and formula.
A. Find the value of the test statistic. (Round to three or more decimal places.)
B. Find the critical value. (Round to three or more decimal places.)
C. Is there enough evidence to support the marriage counselor's claim that the proportion of married couples for whom her program can prevent divorce is more than 76%?
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