1.12 To collect data in an introductory statistics course, I gave the students a questionnaire. One question asked whether the student was a vegetarian. Of 25 students, 0 answered study of 100 women suffering from excessive menstrual bleeding considers yes. They were not a random sample, but use these data to illustrate inference for a proportion. Let π denote the population proportion who would say yes. Consider H0: π = 0.50 and Ha: π ̸= 0.50. What happens when you conduct the Wald test, which uses the estimated standard error in the z test statistic? Find the 95% Wald confidence interval (1.3) for π. Is it believable? Conduct the score test, which uses the null standard error in the z test statistic. Report and interpret the P -value.
1.12 To collect data in an introductory statistics course, I gave the students a questionnaire. One question asked whether the student was a vegetarian. Of 25 students, 0 answered study of 100 women suffering from excessive menstrual bleeding considers yes. They were not a random sample, but use these data to illustrate inference for a proportion. Let π denote the population proportion who would say yes. Consider H0: π = 0.50 and Ha: π ̸= 0.50.
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What happens when you conduct the Wald test, which uses the estimated standard error in the z test statistic?
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Find the 95% Wald confidence interval (1.3) for π. Is it believable?
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Conduct the score test, which uses the null standard error in the z test statistic. Report and interpret the P -value.
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Verify that the 95% score confidence interval equals (0.0, 0.133). (This is similar to the interval (0.0, 0.137) obtained with a small-sample method of Section 1.4.3, inverting the binomial test with the mid P -value.)
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