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Name: A psychologist specializing in marriage counseling claims that, among
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Description: 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 75%. In a random sample of 220 married couples who completed her program, 1

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 75%. In a random sample of 220 married couples who completed her program, 159 of them stayed together. Based on this sample, can we reject the psychologist's claim at the 0.1 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 in the table.

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 75%. In a random sample of 220 married couples who completed her program, 159 of them stayed together. Based on this sample, can we
reject the psychologist's claim at the 0.1 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 in the table. (If necessary, consult a list of formulas.)
The null hypothesis:
H. :p 2 0.75
The alternative hypothesis:
H :p < 0.75
D=D
OSO
O20
The type of test statistic:
O<O
The value of the test statistic:
(Round to at least three
decimal places.)
-0.934
?

The p-value:
(Round to at least three
decimal places.)
Can we reject the psychologist's claim that the
proportion of married couples for whom her
Yes
No
program can prevent divorce is at least 75%?

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