Researchers are interested in the relationship between the use of oral contraceptives (OC) and systolic blood pressure (SBP) in women 35-44 years of age. Assume that the true SBP distributions of OC and non-OC users are both normal with a common standard deviation of 17 mmHg. (a) Researchers wish to detect a difference of least 5 mmHg in SBP between the mean SBP of OC users and the mean SBP of non-OC users, with OC users having the higher mean SBP. Determine the number of women needed in each group to achieve 90% power if a two-sided test will be used with a 1% significance level. Assume equal allocation. (b) Comment on the magnitude of the sample size. If the researchers cannot afford a sample of this size, what can you suggest? (c) Suppose 100 OC users and 100 non-OC users are available for study and a true difference in mean SBP of 5 mmHg is anticipated, with OC users having the higher mean SBP. Using α = 0.01, how much power will the study have?
Researchers are interested in the relationship between the use of oral contraceptives (OC) and systolic blood pressure (SBP) in women 35-44 years of age. Assume that the true SBP distributions of OC and non-OC users are both normal with a common standard deviation of 17 mmHg.
(a) Researchers wish to detect a difference of least 5 mmHg in SBP between the
(b) Comment on the magnitude of the
(c) Suppose 100 OC users and 100 non-OC users are available for study and a true difference in mean SBP of 5 mmHg is anticipated, with OC users having the higher mean SBP. Using α = 0.01, how much power will the study have?
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