The article “An Evaluation of Football Helmets Inder Impact Conditions" (Amer. J. Sports Med., 984: 233–237) reports that when each football elmet in a random sample of 37 suspension-type elmets was subjected to a certain impact test, 24 howed damage. Let p denote the proportion of all elmets of this type that would show damage hen tested in the prescribed manner. . Calculate a 99% CI for . What sample size would be required for the width of a 99% CI to be at most .10, irrespec- tive of ôn? р.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
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Chapter11: Data Analysis And Probability
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Use a 90% confidence level instead, and use the traditional approximate CI formula.

 

The article "An Evaluation of Football Helmets
Under Impact Conditions" (Amer. J. Sports Med.,
1984: 233–237) reports that when each football
helmet in a random sample of 37 suspension-type
helmets was subjected to a certain impact test, 24
showed damage. Let p denote the proportion of all
helmets of this type that would show damage
when tested in the prescribed manner.
a. Calculate a 99% CI for p.
b. What sample size would be required for the
width of a 99% CI to be at most .10, irrespec-
tive of p?
Transcribed Image Text:The article "An Evaluation of Football Helmets Under Impact Conditions" (Amer. J. Sports Med., 1984: 233–237) reports that when each football helmet in a random sample of 37 suspension-type helmets was subjected to a certain impact test, 24 showed damage. Let p denote the proportion of all helmets of this type that would show damage when tested in the prescribed manner. a. Calculate a 99% CI for p. b. What sample size would be required for the width of a 99% CI to be at most .10, irrespec- tive of p?
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