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

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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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