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Point Estimate

 
 
skdja
 
Reply Wed 16 Dec, 2020 05:08 pm
A study was conducted at the University of Waterloo on the impact characteristics of football helmets used in competitive highschool programs. There were three types of helmets considered, classified according to liner type: suspension, padded-suspension, and padded. In the study, a measurement called the Gadd Severity Index (GSI) was obtained on each helmet using a standardized impact test. A helmet was deemed to have failed if the GSI was greater than 1200. Of the 81 helmets tested 33 failed the GSI 1200 criterion. Assuming the suspension helmets tested were selected at random, calculate the point estimate of the proportion of suspension helmets that fail, and the standard error of the estimate.

Can I get some theory links that can help me solve this question? I don't know how to convert the entire population proportion of 33/81 to the particular category of suspension helmets.
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knaivete
 
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Reply Wed 16 Dec, 2020 05:49 pm
@skdja,
The Standard Error of the mean is

https://wikimedia.org/api/rest_v1/media/math/render/svg/f9dac77577c2717cbb973388e4d6563915705742

The standard deviation of the binomial distribution is

https://www.dummies.com/wp-content/uploads/360178.image2.png

https://study.com/academy/lesson/what-is-the-standard-error-of-the-estimate-formula-examples.html
https://www.dummies.com/education/math/statistics/how-to-find-the-mean-variance-and-standard-deviation-of-a-binomial-distribution/
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