Question

A new drug Selttiks is proposed to treat sadness. Doctors are worried it also causes nausea.
The proportion of 700 people who got sick while taking Selttiks was 10.1%. The proportion of 360 people who got sick while taking a placebo was 27.5%. Find a 98% confidence interval for the difference in the proportions that get sick with Selttiks vs the placebo.

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Answer 1

N_ 1 = 700 p^_1 = 10.1% = 0.101 N _ 2 = 360 p^_ 2 = 0.275 98 % confidence internal for difference in the proportion That get sick with settles vs the place to = (p^_1 - p^_ 2) +- (z _ alpha/2 . squareroot p^_1 (1 - p^_ 1) + p^_2 (1 - p^-2)/n_2) = (.101 - .275) +- (2.327 * squareroot (.101 * .899/ 700) + (.275 * .725)/360) = (- 0.2348 , -0.1132)