A sample of 100 fuses from a very large shipment is found to have 10 that are defective. Based on this information, which of the following will you construct to learn about the proportion of fuses that are defective?
A) confidence interval estimate for the total using the Student's t distribution
B) confidence interval estimate for the mean using the Student's t distribution
C) confidence interval estimate for the proportion using the standard normal distribution
D) confidence interval estimate for the difference between two means using the standard normal distribution

Question

Quizplus · Accepted Answer

We will construct a confidence interval estimate for the proportion using the standard normal distribution because we are trying to learn about the proportion of fuses that are defective. This involves estimating a proportion, not a mean or a difference between two means, and we can use the standard normal distribution since the sample size is large enough (n=100).

A Sample of 100 Fuses from a Very Large Shipment