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# Lower/Upper Bound

An article reports that when each football helmet in a random sample of 44 suspension-type helmets was subjected to a certain impact test, 25 showed damage.
Let p denote the proportion of all helmets of this type that would show damage tested in the prescribed manner

Calculate the lower bound for a 99% confidence interval for p

Calculate the upper bound for a 99% confidence interval for p.

Calculate the sample size that would be required for the width of a 99% confidence interval to be at most 0.2? Use phat=1/2 to get the most conservative sample size.

#### Solution Preview

An article reports that when each football helmet in a random sample of 44 suspension-type helmets was subjected to a certain impact test, 25 showed damage.
Let p denote the proportion of all helmets of this type that would show damage tested in the prescribed manner

Calculate the lower bound for a 99% confidence interval for p

Solution. The sample mean of the ...

#### Solution Summary

This solution calculates an upper and lower bound with a given confidence interval for p.

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