A two-sample t-test of the hypotheses Ho: ₁-₂ = 0 versus H₁₁-₂> 0 produces a p-value of 0.03. Which of the following must be true? I. A 90 percent confidence interval for the difference in means will contain the value 0. II. A 95 percent confidence interval for the difference in means will contain the value 0. III. A 99 percent confidence interval for the difference in means will contain the value 0. (A) I only (B) III only (C) I and II only (D) II and III only

MATLAB: An Introduction with Applications
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A two-sample t-test of the hypotheses Ho: ₁₂0 versus H₁₁-₂> 0 produces a p-value of 0.03.
Which of the following must be true?
I. A 90 percent confidence interval for the difference in means will contain the value 0.
II. A 95 percent confidence interval for the difference in means will contain the value 0.
III. A 99 percent confidence interval for the difference in means will contain the value 0.
(A) I only
(B) III only
(C) I and II only
(D) II and III only
Transcribed Image Text:A two-sample t-test of the hypotheses Ho: ₁₂0 versus H₁₁-₂> 0 produces a p-value of 0.03. Which of the following must be true? I. A 90 percent confidence interval for the difference in means will contain the value 0. II. A 95 percent confidence interval for the difference in means will contain the value 0. III. A 99 percent confidence interval for the difference in means will contain the value 0. (A) I only (B) III only (C) I and II only (D) II and III only
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