Suppose a hypothesis test will be used to investigate whether the proportion of United States adults who have been avictim of a cybercrime, such as identity theft, is greater than 0.25. Suppose that the hypothesis test is conductedusing a significance level of 0.05 and the power of the test is determined for a specific alternative value using thesignificance level of 0.05.If the significance level of the hypothesis test is changed to 0.01 and the power of the test is computed for the samealternative value using a significance level of 0.01, which of the following best describes the change(s) to theprobability of a Type I error and the power of the test?(A) The probability of a Type I error would decrease, and the power of the test would stay the same.(B) The probability of a Type I error would decrease, and the power of the test would increase.(C) The probability of a Type I error would decrease, and the power of the test would decrease.(D) The probability of a Type I error would increase, and the power of the test would increase.(E) The probability of a Type I error would increase, and the power of the test would decrease.

The objective of the question is to understand the impact of changing the significance level on the…

Answered: Suppose a hypothesis test will be used…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You claim that the proportion of students who favored ONLINE ASSESSMENT over FACE-TO-FACE ASSESSMENT is 65% at a 5% significance level. From the analysis, the Z-test is 1.16. The correct conclusion is we have a. sufficient evidence to reject the claim. O b. insufficient evidence to reject the claim. O c. insufficient evidence to support the claim. O sufficient evidence to support the claim.
Suppose 230 subjects are treated with a drug that is used to treat pain and 52 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0:p=0.20 H1:p>0.20 B. H0:p=0.20H1: p≠0.20 C. H0:p=0.20 H1:p<0.20 D. H0:p>0.20 H1:p=0.20 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is ___________ (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is ___________ (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test.
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What is the population of interest? And what are the hypotheses?
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