Calculate the minimum sample size you will need (using manual calculations) to conduct a t test to determine if the difference in age in people with and without hypertension is significant. Use the standard deviation for age calculated in week 1. Assume a 2-tailed test with alpha = .05 and Power = 80% and that the difference you expect to observe between the 2 groups is 5 years. (30 points)
Using two different effect sizes in addition to the one used in part 1, perform three power analyses of the sample size computed in step 1 using G*Power. (Assume a 2-tailed independent sample t test with alpha set at .05) (30 points)
Perform a power analysis using G*Power using the actual sample size presented in the dataset for week 1 (180) and an effect size of .30. What does this mean in terms of the study and the probability of experiencing a type 2 error? (40 points)
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