Factors Affecting Sample Size In Hypothesis Testing For Math: Dispelling Misconceptions On One-Sided Vs. Two-Sided Alternatives

T/F: At any significance level and desired power, a two-sided alternative requires a larger sample than a one-sided alternative.

1

False.

The size of a sample required for a given level of significance and power depends on various factors, including the effect size, the variability of the data, the significance level, and the type of hypothesis testing (one-sided or two-sided).

In some cases, a two-sided alternative may require a larger sample size than a one-sided alternative, while in other cases, the opposite might be true. Therefore, it is incorrect to generalize that one type of alternative always requires a larger sample size.

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