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

ID: 3338664 • Letter: I

Question

In randomized, double-blind clinical trials of a new vaccine, rats were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the first dose, 104 of 707 subjects in the experimental group (group 1) experienced fever as a side effect. After the first dose, 68 of 606 of the subjects in the control group (group 2) experienced fever as a side effect. Construct a 90 % confidence interval for the difference between the two population proportions, p 1 minus p 2 . Use x 1 equals 104, n 1 equals 707, x 2 equals 68, and n 2 equals 606 . The 90 % confidence interval for p 1 minus p 2 is (nothing ,nothing ). (Use ascending order. Round to three decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary confidence interval:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions

90% confidence interval results:

Hence,

90% confidence interval will be:

(0.004, 0.065)

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. L. Limit U. Limit p1 - p2 104 707 68 606 0.034889203 0.018489076 0.0044773801 0.065301026
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