Question

Suppose 52% of politicians are lawyers. If a random sample of size 411 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 5%? Round your answer to four decimal places.

Answer #1

Given that, population proportion (p) = 0.52

sample size (n) = 411

The mean and standard deviation of the sampling distribution of sample proportion are,

We want to find,

Therefore, required probability is **0.9576**

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