Question

Suppose a large shipment of microwave ovens contained 11% defectives.

If a sample of size 247 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 3%? Round your answer to four decimal places.

Answer 1

Given that, population proportion (p) = 0.11

sample size (n) = 247

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

We want to find, the probability that the sample proportion will differ from the population proportion by less than 3%. That is to find,

Therefore, required probability is 0.8690