### Estimating the Mean Donation Amount for Political CausesA researcher aims to estimate the average amount of money that a typical American donates to their favorite politicians or political causes.#### (a) Determining the Sample Size for 99% ConfidenceThe researcher seeks to estimate the mean donation amount with 99% confidence. From the given options, they need to choose a sample size that would yield the smallest margin of error. The provided choices and the selection by the researcher are:- 5- 17- 23- 38 ✔The researcher has selected a sample size of 38, which would yield the smallest margin of error with 99% confidence.#### (b) Calculating the Minimum Sample Size for a Specific Margin of ErrorSuppose the goal is to estimate the mean donation amount with a margin of error of no more than $20, maintaining a 99% confidence level. This estimation is challenging since the typical American donation amount ranges from $0 to $216. The task is to determine the minimum number of people the researcher should survey.- The required minimum sample size (n) can be found using statistical tables or technology.#### Additional Resources- **Need Help?** (Button): Directs to additional guidance or resources.- **Use SALT** (Button): Likely to be a tool for statistical analysis.This information guides researchers and students through calculating appropriate sample sizes for accurate, confident estimations in statistical studies related to donation behaviors.

A researcher likes to estimate the mean amount of money the typical American donates to his or her…

(b) Suppose the researcher wants to estimate the mean with a margin of error of no more than $20 with 99% confidence. This could be challenging, though, because the typical American tends to give anywhere from $0 to $216. What is the minimum number of people he should survey? (Use a table or technology.)