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 80%. In a random sample of 205 married couples who completed her program,148 of them stayed together. Based on this sample, can we reject the psychologist's claim at the 0.01 level of significance?
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 80%. In a random sample of 205 married couples who completed her program,148 of them stayed together. Based on this sample, can we reject the psychologist's claim at the 0.01 level of significance?
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 80%. In a random sample of 205 married couples who completed her program,148 of them stayed together. Based on this sample, can we reject the psychologist's claim at the 0.01 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
| The null hypothesis: |
H0:
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| The alternative hypothesis: |
H1:
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| The type of test statistic: | (Choose one)ZtChi squareF | |||
| The value of the test statistic: (Round to at least three decimal places.) |
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| The p-value: (Round to at least three decimal places.) |
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| Can we reject the psychologist's claim that the proportion of married couples for whom her program can prevent divorce is at least
80%?
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