Power Calculation in Hypothesis Testing
Consider an experiment where you wish to detect a specified effect size using a T or Z test with a significance level of 5%. Using power analysis, determine the minimum required sample size and the power of the test given an effect size of 0.5. Your task is divided as follows: (a) Formulate the alternative […]
Part b
Derive the formula and solve for the minimum sample size \(n\) required to achieve a power of 80% given an effect size of 0.5 and a known standard deviation of 1.