Show all work

7. A member of the Utah bar is interested in estimating what proportion of lawyers engage in the unethical practice of inating their billable hours. To get an accurate estimate, he randomly selects 800 members of the Utah Bar and sends them a survey. In the survey, the lawyers are asked if they have ever inated the number of billable hours they spent, and sent the bill to their respective clients. 9 lawyers or approximately 1% of the sample indicated that they had inated a bill before. a. Why is this estimate likely to be biased? (2 pts) i. The sample size is too small to get accurate results. ii. Most lawyers that inate their bills would not want to admit it. iii. The estimate is based on only 9 positive responses iv. More lawyers would admit to this to show their honesty. b. Do you think it is biased high or low? (2 pts) i. high ii. low c. Does the margin of error of a 95% condence interval for the proportion of all members of the Utah Bar that inate their bills allow for any bias? (3 pts) i. Yes, the margin of error is 95%. ii. No, the margin of error only covers random sampling errors. iii. No, the margin of error is only 5%. iv. Yes, the margin of error allows for aws in the study design, and the fact that people may not tell the truth