Which of the following would be most helpful in assessing the practical significance of a test of hypotheses about a proportion? Test the hypotheses using significance level a = 0.001. Report the P-value of your test. Take another sample and retest just to make sure the results are not due to chance. Construct a 99% confidence interval for the proportion in order to see the magnitude of the proportion. In assessing the validity of any test of hypotheses, it is good practice to A) understand exactly what the methods require. B) determine exactly how the study was conducted. C) determine what assumptions the researchers made. D) All of the above.
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001: This step is important for determining whether there is a statistically significant difference, but it does not directly address the practical significance of the test. B) Report the P-value of your test: The P-value helps to determine the statistical Show more…
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a. Assume that we want to use a 0.05 significance level to test the claim that $p_{1} < p_{2} .$ Which is better: A hypothesis test or a confidence interval? b. In general, when dealing with inferences for two population proportions, which two of the following are equivalent: confidence interval method; $P$ -value method; critical value method? c. If we want to use a 0.05 significance level to test the claim that $p_{1} < p_{2},$ what confidence level should we use? d. If we test the claim in part (c) using the sample data in Exercise $1,$ we get this confidence interval: $-0.000508 < p_{1}-p_{2} < -0.000309 .$ What does this confidence interval suggest about the claim?
Inferences from Two Samples
Two Proportions
a. Assume that we want to use a 0.05 significance level to test the claim that $p_{1}<p_{2}$. If we want to test that claim by using a confidence interval, what confidence level should we use? b. If we test the claim in part (a) using the sample data in Exercise 1 , we get this confidence interval: $-0.000508<p_{1}-p_{2}<-0.000309 .$ What does this confidence interval suggest about the claim? c. In general, when dealing with inferences for two population proportions, which two of the following are equivalent: confidence interval method; $P$ -value method; critical value method?
Adi S.
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