11. A researcher claims that at least 15% of all football helmets have manufacturing flaws that could potentially cause injury to the wearer. A sample of 250 helmets revealed that 20 helmets contained such defects. Construct a 95% confidence interval for the true proportion of the defect helmets. Based on the answer, are you 95% confident that the researcher claim is true? Why?

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11. A researcher claims that at least 15% of all football helmets have manufacturing flaws that
could potentially cause injury to the wearer. A sample of 250 helmets revealed that 20 helmets
contained such defects. Construct a 95% confidence interval for the true proportion of the
defect helmets. Based on the answer, are you 95% confident that the researcher claim is true?
Why?
Transcribed Image Text:11. A researcher claims that at least 15% of all football helmets have manufacturing flaws that could potentially cause injury to the wearer. A sample of 250 helmets revealed that 20 helmets contained such defects. Construct a 95% confidence interval for the true proportion of the defect helmets. Based on the answer, are you 95% confident that the researcher claim is true? Why?
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