Question

Asked Nov 12, 2019

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Suppose 47% of the population has a college degree.

If a random sample of size 501 is selected, what is the probability that the proportion of persons with a college degree will differ from the population proportion by less than 6%? Round your answer to four decimal places.

Step 1

It is provided that

*p* = 0.47, *q *= 1-* p = *1-0.47 = 0.53 and *n* = 501

Consider, the sampling distribution of sample proportion follows the normal distribution, that is,

Step 2

Thus,

Step 3

Now, the required probabilit...

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