The null hypothesis:    H0 : _____ The alternative hypothesis:     H1: ______ The type of test statistic: (choose one) _______   The value of the test statistic: ______ (round to at least three decimal places.)   The critical value at the 0.05 level of significance: _______ (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 78%? Yes ______. NO _____

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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 78%. Ina random sample of 215 married coupes who completed her program, 150 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.

 

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

 

The null hypothesis:    H0 : _____

The alternative hypothesis:     H1: ______

The type of test statistic: (choose one) _______

 

The value of the test statistic: ______

(round to at least three decimal places.)

 

The critical value at the 0.05 level of significance: _______

(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 78%? Yes ______. NO _____

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