Suppose you work for a marketing consulting firm and you are tasked to determine

Question

Suppose you work for a marketing consulting firm and you are tasked to determine the proportion of Americans who respond positively to an ad your agency is testing for release. A survey is performed and you randomly select 133 respondents. You input your data into a statistical computing package (like Minitab) and you are given a 99% confidence interval of ( 0.2747 , 0.4922 ). You need to present these findings in the next departmental meeting. What is the correct interpretation of this interval?

1) We are 99% confident that the proportion of Americans who will respond positively to our new ad is between 0.2747 and 0.4922.

2) We are 99% confident that the proportion of those surveyed who respond positively to our new ad is between 0.2747 and 0.4922.

3) We are certain that 99% of Americans will respond positively to our new ad.

4) We are 99% confident that of the 133 respondents, between 0.2747 and 0.4922 responded positively to our new ad.

5) We cannot determine the proper interpretation of this interval.

Explanation / Answer

1) We are 99% confident that the proportion of Americans who will respond positively to our new ad is between 0.2747 and 0.4922.

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