In 2016 the Better Business Bureau settled 80% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is 0.80, the same as the overall proportion of complaints settled in 2016 . Use the z-table. a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of P-bar.    E(P-bar) = (to 2 decimals)    Sigma (P-bar)= (to 2 decimals) b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals)? probability  =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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In 2016 the Better Business Bureau settled 80% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is 0.80, the same as the overall proportion of complaints settled in 2016 . Use the z-table.

a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of P-bar.

   E(P-bar) = (to 2 decimals)

   Sigma (P-bar)= (to 2 decimals)

b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals)?

probability  = 

In 2016 the Better Business Bureau settled 80% of complaints they
received in the United States. Suppose you have been hired by the Better
Business Bureau to investigate the complaints they received this year
involving new car dealers. You plan to select a sample of new car dealer
complaints to estimate the proportion of complaints the Better Business
Bureau is able to settle. Assume the population proportion of complaints
settled for new car dealers is 0.80, the same as the overall proportion of
complaints settled in 2016. Use the z-table.
a. Suppose you select a sample of 200 complaints involving new car
dealers. Show the sampling distribution of p.
E(p) =
0.80
(to 2 decimals)
OF = 0.0283
(to 4 decimals)
b. Based upon a sample of 200 complaints, what is the probability that
the sample proportion will be within 0.05 of the population proportion (to
4 decimals)?
probability - 0.9216
Transcribed Image Text:In 2016 the Better Business Bureau settled 80% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is 0.80, the same as the overall proportion of complaints settled in 2016. Use the z-table. a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of p. E(p) = 0.80 (to 2 decimals) OF = 0.0283 (to 4 decimals) b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals)? probability - 0.9216
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