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) σp = (to 2 decimals) (to 4 decimals) b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.04 of the population proportion (to 4 decimals)? probability = c. Suppose you select a sample of 450 complaints involving new car dealers. Show the sampling distribution of p. E(p) бр = (to 2 decimals) (to 4 decimals) d. Based upon the larger sample of 450 complaints, what is the probability that the sample proportion will be within 0.04 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 0.04 of the population mean is increased by sample size. (to 3 decimals). There is a gain in precision by - Select your answer the

A drug company claims that an allergy medication causes headaches in 5% of those who take it. A medical researcher believes that more than 5% of those who take the drug actually get headaches. Identify the population(s). more than 5% of those who take the drug actually get headaches. the proportion of those who take the drug who get a headache. 5% of those who take the drug actually get headaches. all individuals who take the medication. What is the variable being examined for individuals in the population(s)? more than 5% of those who take the drug actually get headaches. the proportion of those who take the drug who get a headache. whether or not a person who takes the drug gets a headache. 5% of those who take the drug actually get headaches. Is it categorical or quantitative? Quantitative Categorical Identify the parameter(s). the mean of those who take the drug who get a headache. the proportion of those who take the drug who get a headache. all individuals who…

Several years ago, two companies merged. One of the concerns after the merger was the increasing burden of retirement expenditures. An effort was made to encourage employees to participate in the 401(k) accounts. Nationwide, 63% of eligible workers participated in these accounts. The accompanying data table contains responses of 30 employees of the company when asked if they were currently participating in a 401(k) account. Complete parts a through d. Click the icon to view the data table. a. Determine the sample proportion of company workers who participate in 401(k) accounts. The sample proportion is. (Round to three decimal places as needed.) b. Determine the sampling error if in reality the company workers have the same proportion of participants in 401(k) accounts as does the rest of the nation. The error is (Round to three decimal places as needed.) c. Determine the probability that a sample proportion at least as large as that obtained in the sample would be obtained if the…

Approximately 21% of music lovers like Country Music. Of those who do, 97% do not have mild brain damage.What percent of music lovers like Country and have Brain Damage?