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Using the Central Limit Theorem, it is found that the sample sizes that are large enough to guarantee that the sampling distribution of the difference in sample proportions will be approximately normal are given by:
e. 100 in City R and 50 in City S.
<h3>What does the Central Limit Theorem state?</h3>It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean and standard deviation
, as long as
and
In this problem, the proportions are:
Since:
Option e is correct.
More can be learned about the Central Limit Theorem at brainly.com/question/24663213