A large counseling center needs to evaluate their experimental program designed for divorce counseling: the key feature of the program is its couples who are married and couples working in teams. About half of all clients have been randomly assigned to this special program and half to the regular program. In the “special program,” of the 78 couples in the group, 53% got divorced. In the “regular program, of the 82 couples in the group, 59% of them got divorced. Conduct a significance test at a=.05 to answer the question: Is terms of preventing divorce, did the “special” program work?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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A large counseling center needs to evaluate their experimental program designed for divorce counseling: the key feature of the program is its couples who are married and couples working in teams. About half of all clients have been randomly assigned to this special program and half to the regular program. In the “special program,” of the 78 couples in the group, 53% got divorced. In the “regular program, of the 82 couples in the group, 59% of them got divorced.

Conduct a significance test at a=.05 to answer the question: Is terms of preventing divorce, did the “special” program work?

I need help figuring out the alternative, research hypothesis for this question. Would it be Pu=.53

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