Why are larger samples better? Statisticians prefer large samples. Describe briefly the effect of increasing the size of a sample (or the number of subjects in an experiment) on each of the following:

(a) The margin of error of a 95% confidence interval.

(b) The P-value of a test, when H0 is false and all facts about the population remain unchanged as n increases.

(c) (Optional) The power of a fixed level α test, when α, the alternative hypothesis, and all facts about the population remain unchanged.