A researcher for a paint company is measuring the level of a certain chemical contained in a certain 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

To determine the sample size needed to estimate a proportion with a certain level of confidence and margin of error, the formula for sample size is used: n = (Z^2 * p * (1-p)) / E^2. For a 98% confidence level, Z is approximately 2.33. With p = 0.10 and E = 0.01, the calculation results in approximately 4870 cans.

A Researcher for a Paint Company Is Measuring the Level