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Construct a confidence interval for P₁ P2 at the given level of confidence.

X₁ =25, n₁ = 246, x2 = 36, n₂ = 293, 90% confidence.

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Final answer:

To construct a confidence interval for the difference between two population proportions, the formula p' = x/n, q' = 1 - p', and Confidence Interval = p' ± z * sqrt((p' * q') / n) can be used. Using the provided values, the confidence interval for P1P2 at 90% confidence is (0.0693, 0.1722).

Step-by-step explanation:

In order to construct a confidence interval for two population proportions, we can use the formula given:

p′ = x/n

q′ = 1 - p′

Confidence Interval = p′ ± z * sqrt((p′ * q′) / n)

Using the provided values:

x₁ = 25, n₁ = 246, x₂ = 36, n₂ = 293, and a 90% confidence level, we can substitute these values into the formula to calculate the confidence interval.

The confidence interval for P₁P₂ at 90% confidence is (0.0693, 0.1722).

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