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

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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 119 respondents. You input your data into a statistical computing package (like Minitab) and you are given a 99% confidence interval of ( 0.2167 , 0.4387 ). You need to present these findings in the next departmental meeting. What is the correct interpretation of this interval?

Question 5 options:

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1) We are 99% confident that the proportion of those surveyed who respond positively to our new ad is between 0.2167 and 0.4387. 2) We are 99% confident that of the 119 respondents, between 0.2167 and 0.4387 responded positively to our new ad. 3) We are 99% confident that the proportion of Americans who will respond positively to our new ad is between 0.2167 and 0.4387. 4) We cannot determine the proper interpretation of this interval. 5) We are certain that 99% of Americans will respond positively to our new ad.

Explanation / Answer

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 119 respondents. You input your data into a statistical computing package (like Minitab) and you are given a 99% confidence interval of ( 0.2167 , 0.4387 ). You need to present these findings in the next departmental meeting. What is the correct interpretation of this interval?

Question 5 options:

1)

We are 99% confident that the proportion of those surveyed who respond positively to our new ad is between 0.2167 and 0.4387.

2)

We are 99% confident that of the 119 respondents, between 0.2167 and 0.4387 responded positively to our new ad.

3)

We are 99% confident that the proportion of Americans who will respond positively to our new ad is between 0.2167 and 0.4387.

4)

We cannot determine the proper interpretation of this interval.

5)

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

1)

We are 99% confident that the proportion of those surveyed who respond positively to our new ad is between 0.2167 and 0.4387.

2)

We are 99% confident that of the 119 respondents, between 0.2167 and 0.4387 responded positively to our new ad.

3)

We are 99% confident that the proportion of Americans who will respond positively to our new ad is between 0.2167 and 0.4387.

4)

We cannot determine the proper interpretation of this interval.

5)

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

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