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 given that 47% of the population has a college degree. A sample of 501 is considered.

That is, p = 0.47 and n = 501.

The probability that the proportion of persons with a college degree will differ from the population proportion by less than 6% is P [-0.06 < (p-cap) – p < 0.06].

The required probability is, P [-0.06 < (p-cap) – p < 0.06].

The standard error required for further calculations is as shown below:

Step 2

The required probability can be standardized by diving with S...

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