SCENARIO 8-6
After an extensive advertising campaign, the manager of a company wants to estimate the
proportion of potential customers that recognize a new product.She samples 120
potential consumers and finds that 54 recognize this product.She uses this sample
information to obtain a 95% confidence interval that goes from 0.36 to 0.54.
-True or False: Referring to Scenario 8-6, 95% of the time, the proportion of people that
recognize the product will fall between 0.36 and 0.54.

Question

Quizplus · Accepted Answer

A 95% confidence interval means that if we were to take many samples and build a confidence interval from each of them, 95% of those intervals would contain the true proportion. It does not mean that 95% of the time the proportion will fall within this specific interval.

SCENARIO 8-6 After an Extensive Advertising Campaign, the Manager of a Company