The proportion of individuals insured by the AllDriver Autom

The proportion of individuals insured by the All-Driver Automobile Insurance Company who received at least one traffic ticket during a five-year period is 0.15.

b. What is the probability that the sample proportion will be within

Solution

a. The proportion of individuals insured by the All-Driver Automobile Insurance Company who received at least one traffic ticket during a five-year period is 0.15.

The proportion of individuals insured by the All-Driver Automobile Insurance Company who received at least one traffic ticket during a five-year period is .15.
p = 0.15
std = sqrt(pq) = sqrt(0.15*0.85) = 0.3571

Show the sampling distribution of p-hat if a random sample of 150 insured individuals is used to estimate the proportion having received at least one ticket.
mean = 0.15
standard deviation: sqrt(pq/n)= sqrt{0.15*0.85/150) = 0.0292

b.What is the probability that the sample proportion will be within