Question 586220: Suppose we are testing the hypotheses H0 : u=100 versus Ha : u<100. Which sample mean will have the smaller p-value, X bar=90 or X bar=85? Select all that apply. Assume std. Deviation is the same.
A. X bar=85 will have a smaller p-value because it's furthest from (null) u0=100
B. X bar=90 will have a smaller p-value because it's closer to (null) u0=100
C. X bar=85 will have a smaller p-value because it provides more support for Ha.
D. X bar= 90 will have a smaller p-value because it provides more support for Ha.
*it can be any combination of the following answers, more than 1 may be right
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose we are testing the hypotheses H0 : u=100 versus Ha : u<100. Which sample mean will have the smaller p-value, X bar=90 or X bar=85? Select all that apply. Assume std. Deviation is the same.
A. X bar=85 will have a smaller p-value because it's furthest from (null) u0=100
B. X bar=90 will have a smaller p-value because it's closer to (null) u0=100
C. X bar=85 will have a smaller p-value because it provides more support for Ha.
D. X bar= 90 will have a smaller p-value because it provides more support for Ha.
*it can be any combination of the following answers, more than 1 may be right
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Answer: C
Because the left tail of x-bar = 85 is smaller then
the left-tail of 90.
Cheers,
Stan H.
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