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9. Using the setting from problem 8. The researcher decides to test the hypotheses H,: H, - H, = 0 vs. H: H, - H,<0 at the a = 0.05 level and produces a P-value of 0.0475. Which of the following is a correct interpretation of this result? (A) The probability that there is a difference is 0.0475. (B) The probability that this test resulted in a Type Il error is 0.0475. (C) If this test were repeated many times, we would make a Type I error 4.75% of the time. (D) If the null hypothesis is true, the probability of getting a difference in sample means as far or farther from 0 as the difference in our samples is 0.0475. (E) If the null hypothesis is false, the probability of getting a difference in sample means as far or farther from 0 as the difference in ouur samples is 0 0475

9. Using the setting from problem 8. The researcher decides to test the hypotheses H,: H, - H, = 0 vs. H: H, - H,<0 at the a = 0.05 level and produces a P-value of 0.0475. Which of the following is a correct interpretation of this result? (A) The probability that there is a difference is 0.0475. (B) The probability that this test resulted in a Type Il error is 0.0475. (C) If this test were repeated many times, we would make a Type I error 4.75% of the time. (D) If the null hypothesis is true, the probability of getting a difference in sample means as far or farther from 0 as the difference in our samples is 0.0475. (E) If the null hypothesis is false, the probability of getting a difference in sample means as far or farther from 0 as the difference in ouur samples is 0 0475

MATLAB: An Introduction with Applications
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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9. Using the setting from problem 8. The researcher decides to test the hypotheses H,: H, - H, = 0 vs. H,: H, - H, <0 at the a = 0.05 level and produces a P-value of 0.0475. Which of the following is a correct interpretation of this result? (A) The probability that there is a difference is 0.0475. (B) The probability that this test resulted in a Type Il error is 0.0475. (C) If this test were repeated many times, we would make a Type I error 4.75% of the time. (D) If the null hypothesis is true, the probability of getting a difference in sample means as far or farther from 0 as the difference in our samples is 0.0475. (E) If the null hypothesis is false, the probability of getting a difference in sample means as far or farther from 0 as the difference in our samples is 0.0475.
Transcribed Image Text:9. Using the setting from problem 8. The researcher decides to test the hypotheses H,: H, - H, = 0 vs. H,: H, - H, <0 at the a = 0.05 level and produces a P-value of 0.0475. Which of the following is a correct interpretation of this result? (A) The probability that there is a difference is 0.0475. (B) The probability that this test resulted in a Type Il error is 0.0475. (C) If this test were repeated many times, we would make a Type I error 4.75% of the time. (D) If the null hypothesis is true, the probability of getting a difference in sample means as far or farther from 0 as the difference in our samples is 0.0475. (E) If the null hypothesis is false, the probability of getting a difference in sample means as far or farther from 0 as the difference in our samples is 0.0475.
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