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 79% . In a random sample of 245 married couples who completed her program,180 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. Then complete the parts below. Carry your intermediate computations to three or more 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 79% . In a random sample of 245 married couples who completed her program,180 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. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.
| (a) | State the null hypothesis
H0?
H1?
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H0:?
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H1:?
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| (b) | Determine the type of test statistic to use. | |
| ▼(Choose one) z ? t ? chi square ? f ? |
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| (c) | Find the value of the test statistic?. (Round to three or more decimal places.) | |
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| (d) | Find the p-value.? (Round to three or more decimal places.) | |
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| (e) | Can we reject the psychologist's claim that the proportion of married couples for whom her program can prevent divorce is at least
79%
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Yes
or No?
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Solution:
Given information:
n= 245 Sample size of married couple
x= 180 married couple stayed together
p = 0.79 Population proportion
Ye
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