In 2016 the Better Business Bureau settled 81% of complaints they received in the United States Supe pose you have been hired by the Better Business Bureau investigate the complaints they received this year involving new car dealers. You plan to select 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 0.81 _ the same as the overall proportion of complaints settled in 2016 Use the 2-table_ Suppose you select sample of 200 complaints involving new car dealers_ Show the sampling distribution of p_ E(p) = (to 2 decimals) 0277 (to decimals) Based upon sample of 200 complaints, what is the probability that the sample proportion will be within 0.02 of the population proportion (to decimals)? probability 5297 Suppose you select sample of 410 complaints involving new car dealers_ Show the sampling distribution of p_ E(p) (to 2 decimals) 0194 decimals) Based upon the larger sample of 410 complaints_ what is the probability that the sample proportion will be within 0.02 of the population proportion (to 4 decimals)? probability 6974 As measured bY the increase in probability, how much do you gain precision by taking the larger sample in part (d)? The probability of the sample proportion being within 0.02 of the population mean increased by 168 decimals) . There is gain in precision by Increasing the sample size _