In2016the Better Business Bureau settled80%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 .80, the same as the overall proportion of complaints settled in 2016.

A. Suppose you select a sample of200complaints involving new car dealers. Show the sampling distribution ofp-bar.

E p-bar(to2decimals)

p-bar(to4decimals)

b.Based upon a sample of200complaints, what is the probability that the sample proportion will be within0.04of the population proportion (to4decimals)?

probability=

c.Suppose you select a sample of450complaints involving new car dealers. Show the sampling distribution ofp-bar.

E p-bar(to2decimals)

p-bar(to4decimals)

d.Based upon the larger sample of450complaints, what is the probability that the sample proportion will be within0.04of the population proportion (to4decimals)?

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 withinof the population mean is increased by(to3decimals). There is a gain in precision by- Select your answer -increasing or decreasing Item 8the sample size.