Chance of detecting a difference

Reference no: EM1391566

We expect two proportions to be about 0.20 and 0.30, and we want an 80% chance of detecting a difference between them using a two-sided 0.05 level test.

a. Assuming equal sample sizes, how large should they be?

b. How does the sample size change if we want a 90% power?

c. How does the sample size change if we use a two-sided 0.01 level test (still keeping 80% power)?

d. How does the sample size change if we want to test a difference between 0.30 and 0.40 (still keeping 80% power, two-sided 0.05 level test)?

Reference no: EM1391566

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