A private opinion poll is conducted for a politician to determine what proportion of the population favors adding more national parks. How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 4%

I would like to esCmate the proporCon of adults who own a pet. How many people should I poll in order to be 94% confident that I am within 2% of the actual proporCon?

Suppose that 9% of all athletes in a sport use a banned drug. A test is available that detects 94% of athletes who use the drug. But the test also gives a positive result for 8% of those who do not use the drug. What percent of athletes who test positive for the drug are actually using the drug? Answer: 77.28 %

In 2016 the Better Business Bureau settled 84% 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 0.84, 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) (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 460 complaints involving new car dealers. Show the sampling distribution of p. E(F) (to 2…