In 2008 the Better Business Bureau settled 75% of complaints they received (uSa today,March 2, 2009). 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 asample of new car dealer complaints to estimate the proportion of complaints the BetterBusiness Bureau is able to settle. Assume the population proportion of complaints settledfor new car dealers is .75, the same as the overall proportion of complaints settled in 2008.a. Suppose you select a sample of 450 complaints involving new car dealers. Show thesampling distribution of p.b. Based upon a sample of 450 complaints, what is the probability that the sample proportion will be within .04 of the population proportion?c. Suppose you select a sample of 200 complaints involving new car dealers. Show thesampling distribution of p.d. Based upon the smaller sample of only 200 complaints, what is the probability that thesample proportion will be within .04 of the population proportion?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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In 2008 the Better Business Bureau settled 75% of complaints they received (uSa today,
March 2, 2009). 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 .75, the same as the overall proportion of complaints settled in 2008.
a. Suppose you select a sample of 450 complaints involving new car dealers. Show the
sampling distribution of p.
b. Based upon a sample of 450 complaints, what is the probability that the sample proportion will be within .04 of the population proportion?
c. Suppose you select a sample of 200 complaints involving new car dealers. Show the
sampling distribution of p.
d. Based upon the smaller sample of only 200 complaints, what is the probability that the
sample proportion will be within .04 of the population proportion?

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