Question

42. The decrease in cholesterol level after eating a certain brand of oatmeal for breakfast for one month in people with cholesterol levels over 200 is Normally distributed, with mean (in milligrams) μ and standard deviation σ = 3. The brand advertises that eating its oatmeal for breakfast daily for one month will produce a mean decrease in cholesterol of more than 10 points for people with cholesterol levels over 200, but you believe that the mean decrease in cholesterol is actually less than advertised. To explore this, you test the hypotheses
H0: μ = 10, Ha: μ < 10

and you obtain a P-value of 0.052. Which of the following is true?

A. At the α = 0.05 significance level, you have proved that H0 is true.
B. You have failed to obtain any evidence for Ha.
C. There is some evidence against H0, and a study using a larger sample size may be worthwhile.
D. This should be viewed as a pilot study, and the data suggest that further investigation of the hypotheses will not be fruitful at the α = 0.05 significance level.

Answer 1

low P-values result in rejecting Null Hypothesis

at the .05 level, a P-value of .052 is insignificant

i would go with either C or D