Has the law that mandates the use of bicycle helmets failed? The National Cycling Association wants to know the true cyclist proportion and draws a random sample of 1020 cyclists with only 612 wearing helmets. (need the process can be by hand ,Excel or R.) a) Please provide
Has the law that mandates the use of bicycle helmets failed? The National Cycling Association wants to know the true cyclist proportion and draws a random sample of 1020 cyclists with only 612 wearing helmets.
(need the process can be by hand ,Excel or R.)
a) Please provide a point estimate of the true percentage of the population of cyclists who wear helmets.
b) If the result found in part a of the true proportion of cyclists wearing helmets is proposed as a good estimate, what will be the statistical error of the measurement at 95% confidence?
c) Express the result of parts a and b above as a confidence interval.
d) If you want a maximum error of no more than 0.02 (2%) with 95% confidence, how large should the sample be?
[Answers a) Approximately 60% b) 0.0301 c) 0.5699 ≤ P ≤ 0.6301 d) 2305]
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