(Steps Shown) Why are larger samples better? Statisticians prefer large samples. Describe briefly the effect of increasing the size of a sample (or the number
Question: 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:
- The margin of error of a 95% confidence interval.
- The P-value of a test, when H 0 is false and all facts about the population remain unchanged as n increases.
- The power of a fixed level \(\alpha \) test, when \({{H}_{A}}\), the alternative hypothesis, and all facts about the population remain unchanged.
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