Assume that a researcher wants to use sample data to test the claim that the sam

Question

Assume that a researcher wants to use sample data to test the claim that the sample is from a population with a standard deviation less than 1.8 min. The researcher will use a 0.05 significance level to test that claim. If the researcher wants to use the confidence interval method of testing hypotheses, what level of confidence should be used for the confidence interval? Will the conclusion based on the confidence interval be the same as the conclusion based on a hypothesis test that uses the P-value method or the critical value method? If the researcher wants to use the confidence interval method of testing hypotheses, what level of confidence should be used for the confidence interval? Since this is a two-tailed test, the researcher should use a confidence level of 0.90. Since this is a one-tailed test, the researcher should use a confidence level of 0.90 Since this is a one-tailed test, the researcher should us a confidence level of 0.95 Since this is a two-tailed test, the researcher should use a confidence level of 0.95. A. B. O C. O D. Will the conclusion based on the confidence interval be the same as the conclusion based on a hypothesis test that uses the P-value method or the critical value method? O A. No: the confidence interval method and the P-value or critical methods never lead to the same conclusion when the tested parameter is a proportion O B. No; the confidence interval method and the P-value or critical methods never lead to the same conclusion for tests of any type of parameter O C. Yes; the confidence interval method and the P-value or critical methods always lead to the same conclusion for tests of all types of parameters. O D. Yes; the confidence interval method and the P-value or critical methods always lead to the same conclusion when the tested parameter is the standard deviation

Explanation / Answer

Q1) Option C is Correct.

It is one tailed test because we want to test whether the population standard deviation is less than 1.8 m , so we should use (1-0.05)*1000 =95% Confidence Interval

Q2) Option C is Correct. All the methods, p value , confidence interval, critical value will always lead to same conclusion for all types of parameters test

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