A Research and Development Laboratory researcher for a paint company is measuring the level 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 the average,each can of paint contains 10% of the chemical,How many cans of paint should the sample contain if the researcher wants to be 98% certain of being within 1% of the true proportion of this chemical?
A)4887
B)1107
C)26
D)645

Question

Quizplus · Accepted Answer

To determine the sample size needed for a specific confidence level and margin of error, the formula for sample size in proportion estimation 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 4887 cans.

A Research and Development Laboratory Researcher for a Paint Company