1. Mark wanted to demonstrate that a new intervention program is more efficient
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Question
1. Mark wanted to demonstrate that a new intervention program is more efficient than the old one. He should conduct a one-tailed hypothesis test. True or False? Why?
2. For the same sample data with X¯ = 1, the p-value calculated under H0 : µ = 0 is twice as much as the p-value calculated under H0 : µ 0. True or False? Why?
3. We should always perform one-tailed tests because they produce smaller p-values. True or False? Why?
4. When testing H0 : µ 1, H0 is rejected if the observed Z score, i.e., the Z score of the sample mean X¯ with respect to the sampling distribution of the mean under µ = 1, is less than the critical Z score, i.e., Zcrit. True or False? Why?
5. The following two statements are equivalent: a) the observed Z score of the mean falls in the region of rejection, and b) the p-value is greater than the level of significance . True or False? Why?
Explanation / Answer
3. We should always perform one-tailed tests because they produce smaller p-values. True.
5.No, the two statements are different.
If the observed Z score of the mean falls in the region of rejection means reject the null.
b) the p-value is greater than the level of significance means fail to reject the null.
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