In 2016 the Better Business Bureau settled 85% 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 0.85, the same as the overall proportion of complaints settled in 2016. Use th z-table. a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of p. E(F) = 0.85 (to 2 decimals) oz = 0.0253 (to 4 decimals) b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.02 of the population proportion (to 4 decimals)? probability = 0.3079 c. Suppose you select a sample of 500 complaints involving new car dealers. Show the sampling distribution of p. E(F) = 2.13 (to 2 decimals) (to 4 decimals)

In 2016 the Better Business Bureau settled 85% 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 0.85, the same as the overall proportion of complaints settled in 2016. Use th z-table. a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of p. E(F) = 0.85 (to 2 decimals) oz = 0.0253 (to 4 decimals) b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.02 of the population proportion (to 4 decimals)? probability = 0.3079 c. Suppose you select a sample of 500 complaints involving new car dealers. Show the sampling distribution of p. E(F) = 2.13 (to 2 decimals) (to 4 decimals)

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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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Concept explainers

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Question

In 2016 the Better Business Bureau settled 85% 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 0.85, the same as the overall proportion of complaints settled in 2016. Use th
z-table.
a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of p.
E(7) =
0.85
(to 2 decimals)
oF = 0.0253
(to 4 decimals)
b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.02 of the population proportion (to 4 decimals)?
probability = 0.3079
c. Suppose you select a sample of 500 complaints involving new car dealers. Show the sampling distribution of p.
E(7) =
2.13
(to 2 decimals)
(to 4 decimals)
d. Based upon the larger sample of 500 complaints, what is the probability that the sample proportion will be within 0.02 of the population proportion (to 4 decimals)?
probability =
e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (d)?
The probability of the sample proportion being within 0.02 of the population mean is increased by
0.203
(to 3 decimals). There is a gain in precision by
increasing
the sample size.

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