A philosophy professor wants to find out whether the mean age of the men in his large lecture class is equal to the mean age of the women in his class. In other words, the professor tested the hypothesis H0 against the alternative Ha: H0: μM = μW HA: μM > μW at the 5% level. After collecting data from his students, he finds the P-value for the test was 0.003. Which is the right conclusion for this test? A. There is not sufficient statistical evidence that the mean age for the men is equal to the mean age for the women. B. There is sufficient statistical evidence that the mean age for the men is equal to the mean age for the women.     C. There is not sufficient statistical evidence that the mean age for the men is greater than the mean age for the women. D. There is sufficient statistical evidence that the mean age for the men is greater than the mean age for the women.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A philosophy professor wants to find out whether the mean age of the men in his large lecture class is equal to the mean age of the women in his class. In other words, the professor tested the hypothesis H0 against the alternative Ha:
H0: μM = μW
HA: μM > μW

at the 5% level.

After collecting data from his students, he finds the P-value for the test was 0.003.

Which is the right conclusion for this test?

A. There is not sufficient statistical evidence that the mean age for the men is equal to the mean age for the women.
B. There is sufficient statistical evidence that the mean age for the men is equal to the mean age for the women.    
C. There is not sufficient statistical evidence that the mean age for the men is greater than the mean age for the women.
D. There is sufficient statistical evidence that the mean age for the men is greater than the mean age for the women.
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