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. Use the z-table. a. Show the sampling distribution of p if a random sample of 150 insured individuals is used to estimate the proportion having received at least one ticket. E(F) = 0.15 (to 2 decimals) o5 = 0.0292 (to 4 decimals) Can the sampling distribution of p be approximated by a normal distribution? Yes b. What is the probability that the sample proportion will be within +0.03 of the population proportion (to 4 decimals)? Round z-value to 2 decimals.
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. Use the z-table. a. Show the sampling distribution of p if a random sample of 150 insured individuals is used to estimate the proportion having received at least one ticket. E(F) = 0.15 (to 2 decimals) o5 = 0.0292 (to 4 decimals) Can the sampling distribution of p be approximated by a normal distribution? Yes b. What is the probability that the sample proportion will be within +0.03 of the population proportion (to 4 decimals)? Round z-value to 2 decimals.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![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. Use the z-table.
**a.** Show the sampling distribution of \(\bar{p}\) if a random sample of 150 insured individuals is used to estimate the proportion having received at least one ticket.
\[
E(\bar{p}) = 0.15 \quad \text{(to 2 decimals)}
\]
\[
\sigma_{\bar{p}} = 0.0292 \quad \text{(to 4 decimals)}
\]
Can the sampling distribution of \(\bar{p}\) be approximated by a normal distribution?
[Dropdown: Yes]
**b.** What is the probability that the sample proportion will be within \(\pm 0.03\) of the population proportion (to 4 decimals)? Round \(z\)-value to 2 decimals.
[Input box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba6262a5-d997-4fde-9cea-b71e30254a96%2Fa3fc8a23-5d85-4d7e-821b-27786efb2c8b%2F7at7s5c_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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. Use the z-table.
**a.** Show the sampling distribution of \(\bar{p}\) if a random sample of 150 insured individuals is used to estimate the proportion having received at least one ticket.
\[
E(\bar{p}) = 0.15 \quad \text{(to 2 decimals)}
\]
\[
\sigma_{\bar{p}} = 0.0292 \quad \text{(to 4 decimals)}
\]
Can the sampling distribution of \(\bar{p}\) be approximated by a normal distribution?
[Dropdown: Yes]
**b.** What is the probability that the sample proportion will be within \(\pm 0.03\) of the population proportion (to 4 decimals)? Round \(z\)-value to 2 decimals.
[Input box]
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