In randomized, double-blind clinical trials of a new vaccine, rats were randomly

Question

In randomized, double-blind clinical trials of a new vaccine, rats were randomly divided into two groups. Students in group x received the new vaccine while subjects in group y received a control vaccine. After the first dose, 103 of 737 subjects in the experimental group (group x) experienced vomiting as a side effect. After the first does, 52 of 603 of the subjects in the control group (group y) experienced vomiting as a side effect. Construct a 95% confidence interval for the difference between the two proportions, P× - Py.

The 95% confidence interval for Px – Py is (O ,O ). The O represents two answers needed.

Explanation / Answer

Test and CI for Two Proportions

Sample X N Sample p
1 103 737 0.139756
2 52 603 0.086235

Difference = p (1) - p (2)
Estimate for difference: 0.0535203
95% CI for difference: (0.0199251, 0.0871155)
Test for difference = 0 (vs not = 0): Z = 3.12 P-Value = 0.002

95% confidence interval for Px - Py is (0.02, 0.09)

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