A certain population follows a Normal distribution with mean µ and standard deviation σ= 22.1. You collect data on four members of the population and test the hypothesis
H₀: µ= 100; Ha: µ>100.
You obtain a P-value of 0.052. Which of the following is true?
A. There is some evidence against H₀, and a study using a larger sample size may be worthwhile.
B. This should be viewed as a pilot study, and the data suggest that further investigation of the hypotheses will not be fruitful at the 5% significance level.
C. At the 5% significance level, you have proved that H₀ is true.
D. You have failed to obtain any evidence for Ha.
E. None of the above.
Answer: A