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
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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 .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.)
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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