A psychologist specializing in marriage counseling claims that,among all married couples, the proportion p for whom hercommunication program can prevent divorce is at least 77%. In arandom sample of 240 married couples who completed her program, 176of them stayed together. Based on this sample, can we reject thepsychologist's claim at the 0.05 level of significance?Perform aone-tailed test. Then fill in the table below.Carry yourintermediate computations to at least three decimal places andround your answers as specified in the table. (If necessary,consult a list of formulas.)
| The nullhypothesis: | H0: | | The alternativehypothesis: | H1: | | The type of teststatistic: | (Choose one)Z t Chisquare F | | | | | | | The value of thetest statistic:
(Round to at least three decimal places.) | | | The critical valueat the 0.05 level of significance:
(Round to at least three decimal places.) | | | Can we reject thepsychologist's claim that the proportion of married couples forwhom her program can prevent divorce is at least 77% ? | Yes | No |
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