Learn o CONFIDENCE INTERVALS AND HYPOTHESS TESTNG Hypothesis test for a population proportion using the critical A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 77%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than 77% of married couples. In a random sample of 205 married couples who completed her program, 170 of them stayed together. Based on this sample, is there enough evidence to support the marriage counselor's claim at the 0.10 level of Españal 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.) (a) State the null hypothesis H, and the alternative hypothesis H,. (a) (b) Determine the type of test statistic to use. (Choose one) ▼ ORO OS0 (c) Find the value of the test statistic. (Round to three or more decimal places.) D

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o CONFIDENCE INTERVALS AND HYPOTHESS TESTNG
Hypothesis test for a population proportion using the critical
A marriage counselor has traditionally seen that the proportion p of all married couples for whom her
communication program can prevent divorce is 77%. After making some recent changes, the marriage
counselor now claims that her program can prevent divorce in more than 77% of married couples. In a
random sample of 205 married couples who completed her program, 170 of them stayed together. Based on
this sample, is there enough evidence to support the marriage counselor's claim at the 0.10 level of
Españal
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.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
(a)
(b) Determine the type of test statistic to use.
(Choose one) ▼
ORO OS0
(c) Find the value of the test statistic. (Round to three or more decimal
places.)
D<D
(d) Find the critical value. (Round to three or more decimal places.)
(e) 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
77%?
OYes ONo
Transcribed Image Text:Learn o CONFIDENCE INTERVALS AND HYPOTHESS TESTNG Hypothesis test for a population proportion using the critical A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 77%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in more than 77% of married couples. In a random sample of 205 married couples who completed her program, 170 of them stayed together. Based on this sample, is there enough evidence to support the marriage counselor's claim at the 0.10 level of Españal 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.) (a) State the null hypothesis H, and the alternative hypothesis H,. (a) (b) Determine the type of test statistic to use. (Choose one) ▼ ORO OS0 (c) Find the value of the test statistic. (Round to three or more decimal places.) D<D (d) Find the critical value. (Round to three or more decimal places.) (e) 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 77%? OYes ONo
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