A sample of union members was selected and their opinions regarding the proposed management union contract were recorded with 1,600 out of the 2,000 members in favour of it. Using a 95% confidence level, the interval estimate for the population proportion was computed to be 0.78 and 0.82.
A) This indicates that about 68 out of 100 similarly constructed intervals would include the population proportion.
B) This indicates that about 95 out of 100 similarly constructed intervals would include the population proportion.
C) This indicates that about 99 out of 100 similarly constructed intervals would include the population proportion.
D) This indicates that about 78 out of 100 similarly constructed intervals would include the population proportion.

Question

Quizplus · Accepted Answer

The interval estimate with a 95% confidence level indicates that about 95 out of 100 similarly constructed intervals would include the population proportion. This is because a 95% confidence level means that if we were to take repeated samples and compute the interval estimate from each sample, 95% of the intervals would contain the true population proportion.

A Sample of Union Members Was Selected and Their Opinions