TABLE 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 Table 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

The table does not provide information on the proportion of people that recognize the product falling between 0.36 and 0.54. The confidence interval obtained from the sample only provides a range of plausible values for the true proportion of the population that recognizes the product, with a 95% level of confidence. It is possible that the true proportion falls outside of this interval.

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