Suppose a hypothesis test will be used to investigate whether the proportion of United States adults who have been a victim of a cybercrime, such as identity theft, is greater than 0.25. Suppose that the hypothesis test is conducted using a significance level of 0.05 and the power of the test is determined for a specific alternative value using the significance 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 same alternative value using a significance level of 0.01, which of the following best describes the change(s) to the probability 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.

Suppose a hypothesis test will be used to investigate whether the proportion of United States adults who have been a victim of a cybercrime, such as identity theft, is greater than 0.25. Suppose that the hypothesis test is conducted using a significance level of 0.05 and the power of the test is determined for a specific alternative value using the significance 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 same alternative value using a significance level of 0.01, which of the following best describes the change(s) to the probability 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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