Which of the following statements is ALWAYS TRUE? For testing Ho: P1- P2 = 0 against H,: H1 - H2 < 0, if the test statistic is negative, we reject Ho. If a 99% confidence interval for u1- H2 contains 0, then a two-sided t-test of Ho: H1 = Pz against Ha: H17 µ2 has p-value greater than 0.01. If a 95% confidence interval for µ1- 2 contains only positive numbers, then we can conclude that both µ, and Hz are positive. If we fail to reject Ho: P1= P2 at the significance level of 0.05, the 95% confidence interval for p, - p2 must contain 0.

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Which of the following statements is ALWAYS TRUE?
For testing Ho: P1- P2 = 0 against H,: H1 - H2 < 0, if the test statistic is negative, we reject Ho.
If a 99% confidence interval for u1- H2 contains 0, then a two-sided t-test of Ho: H1 = Pz against Ha: H17 µ2 has
p-value greater than 0.01.
If a 95% confidence interval for µ1- 2 contains only positive numbers, then we can conclude that both µ, and
Hz are positive.
If we fail to reject Ho: P1= P2 at the significance level of 0.05, the 95% confidence interval for p, - p2 must
contain 0.
Transcribed Image Text:Which of the following statements is ALWAYS TRUE? For testing Ho: P1- P2 = 0 against H,: H1 - H2 < 0, if the test statistic is negative, we reject Ho. If a 99% confidence interval for u1- H2 contains 0, then a two-sided t-test of Ho: H1 = Pz against Ha: H17 µ2 has p-value greater than 0.01. If a 95% confidence interval for µ1- 2 contains only positive numbers, then we can conclude that both µ, and Hz are positive. If we fail to reject Ho: P1= P2 at the significance level of 0.05, the 95% confidence interval for p, - p2 must contain 0.
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