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The American Heart Association is about to conduct an anti-smoking campaign and

ID: 3359066 • Letter: T

Question

The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 35 who smoke.

Step 1 of 2: Suppose a sample of 632 Americans over 35 is drawn. Of these people, 456 don't smoke. Using the data, estimate the proportion of Americans over 35 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Step 2 of 2: Suppose a sample of 632 Americans over 35 is drawn. Of these people, 456 don't smoke. Using the data, construct the 90%confidence interval for the population proportion of Americans over 35 who smoke. Round your answers to three decimal places.

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

90% confidence interval results:

Hence,

1. Estimate of proportion = 0.722

2. 90% confidence interval: (0.692, 0.751)

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 456 632 0.72151899 0.017830484 0.69219045 0.75084752