Using the z-distribution, the 90% confidence interval for the difference of proportions is given by: (-0.0534, 0.0434).
<h3>What is the mean and the standard error for the distribution of differences?</h3>For each sample, the mean and the standard error are given as follows:
.
.
For the distribution of differences, they are given by:
.
The interval is given by:
In this problem, we have a 90% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.645.
Hence the bounds of the interval are:
More can be learned about the z-distribution at brainly.com/question/25890103
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