A company claims that it has only a 5% complaint rate for its products. A consumer protection group thinks the percent is higher. A survey of a random sample of 400 product owners shows that 33 had...

A company claims that it has only a 5% complaint rate for its products.  A consumer protection group thinks the percent is higher.  A survey of a random sample of 400 product owners shows that 33 had complaints.

Assume that the company’s claim is true and that p is really 0.05 (5%). What is the probability that a p-hat of 8% or more would be observed?