A researcher for a paint company is measuring the level of a certain chemical contained in a particular type of paint. If the paint contains too much of this chemical, the quality of the paint will be compromised. On average, each can of paint contains 10 percent of the chemical. How many cans of paint should the sample contain if the researcher wants to be 98 percent certain of being within 1 percent of the true proportion of this chemical?
A) 4870
B) 1107
C) 26
D) 645

Question

Quizplus · Accepted Answer

n = p(1 − p)(z/E)² = .1(.9)(2.326/.01)² = (.09)(232.6)² = 4869.2 = 4870

A Researcher for a Paint Company Is Measuring the Level