Confidence Interval for the Difference Between Two Independent Proportions

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A simple random sample of size $59$ is selected from Amsterdam residents, of which $X_1=24$ have a Dutch museum card. Meanwhile, a simple random sample of size $69$ is selected from Rotterdam residents, of which $X_2=26$ have a Dutch museum card.

Construct a $98\%$ confidence interval for the difference between the two population proportions $\pi_1 - \pi_2$ . Round your answers to $3$ decimal places.

$CI_{(\pi_1 - \pi_2),\,98\%}=\,($

$,\,\,\,$

$)$

8. Testing for Differences in Means and Proportions: Independent Proportions Z-test

Confidence Interval for the Difference Between Two Independent Proportions