A study is carried out to estimate the proportion of all fatal traffic accidents attributable to...
A study is carried out to estimate the proportion of all fatal traffic accidents attributable to drunk driving. In a random sample of 100 accidents, 21% were attributed to alcohol. Construct a 95% confidence interval for the population proportion.
a) Write the name of the type of problem, including: one or two sided; small or large sample; CI, upper bound, lower bound, or CI; mean or proportion; normally distributed or unknown distribution (for means only); sigma known or unknown (for means only)
b) Write the general formula you would use to solve the problem
c) Plug in numbers as appropriate. (Do not perform any calculations; do not solve.)
Homework Answers
a)
Type of problem is confidence interval
b)
CI = p +/- z *sqrt(p*(1-p)/n)
c)
z value at 95% = 1.96
CI = 0.21 +/- 1.96 *sqrt(0.21 *(1-0.21)/100)
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