A poll of 1027 adults in a certain country found that 29% identified themselves

Question

A poll of 1027 adults in a certain country found that 29% identified themselves as the followers of some religion. The margin of error was 3 percentage points with 90% confidence. Which of the following represents a reasonable interpretation of the survey results? A. In 90% of samples of adults in a certain country, the proportion who identify themselves as the followers of some religion is between 26% and 32%. B. There is 90% confidence that the proportion of adults in a certain country who identify themselves as the followers of some religion is between 26% and 32%. C. There is 90% confidence that 29% of adults in a certain country identify themselves as the followers of some religion. D. There is between 87% and 93% confidence that 29% of adults in a certain country identify themselves as the followers of some religion.

Explanation / Answer

90% confidence interval:

Lower limit = p –(margin of error) = 0.29- 0.03 = 26%

Upper limit = p + (margin of error) = 0.29+ 0.03 = 32%

The correct option is b.

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