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. Use 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 (to 4 decimals). Can assume to be normally distributed because np>=5 and n(1-p)>=5 E(p) = 0.15 standard error of the proportion (op) = 0.0292 b. What is the probability that the sample proportion will be within +/- .03 of the population proportion (to 3 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
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. Use 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 (to 4 decimals). Can assume to be normally distributed because np>=5 and n(1-p)>=5 E(p) = 0.15 standard error of the proportion (op) = 0.0292 b. What is the probability that the sample proportion will be within +/- .03 of the population proportion (to 3 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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need help with part b
![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. Use 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 (to 4 decimals).
Can assume to be normally distributed because np>=5 and n(1-p)>=5
E(p) =
0.15
standard error of the proportion (op) = 0.0292
b. What is the probability that the sample proportion will be within +/- .03 of the population proportion (to 3 decimals)? (Round z value in intermediate calculations to 2 decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6544980f-78eb-42c1-bdf7-a346dd2568f1%2F5c76db2e-575f-400b-85dd-c4468bd793fc%2Fl6xur5_processed.png&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 .15. Use 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 (to 4 decimals).
Can assume to be normally distributed because np>=5 and n(1-p)>=5
E(p) =
0.15
standard error of the proportion (op) = 0.0292
b. What is the probability that the sample proportion will be within +/- .03 of the population proportion (to 3 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
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