Fourth Down Conversions in American Football In analyzing data from over 700 gam

Question

Fourth Down Conversions in American Football In analyzing data from over 700 games in the National Football League, economist David Romer identified 1068 fourth-down situations in which, based on his analysis, the right call would have been to go for it and not to punt. Nonetheless, in 959 of those situations, the teams punted. Find a 90% confidence interval for the proportion of times NFL teams punt on a fourth down when, statistically speaking, they shouldn't be punting." Assume the sample is reasonably representative of all such fourth down situations in the NFL. Round your answers to three decimal places. The 90% confidence interval is to . Moskowitz, T. and Wertheim, J., Scorecasting, Crown Archetype, New York, 2011, p. 39.

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,

90% confidence interval will be:

0.883 to 0.913

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 959 1068 0.89794007 0.0092632988 0.8827033 0.91317685

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