How would you write different hypothesis for the question and how would you know what test is best to use?

Exercise 12-9. The next set of questions is designed to help you get used to translating a political claim into a statistical hypothesis that can be tested. According to the U.S. Census Bureau, "The nation's public school districts spent an average of $8,701 per student on elementary and secondary education in fiscal year 2005, up 5 percent from the previous year." A staff member for a candidate for governor has conducted a random sample of fifteen school districts and found that the mean spending level is only $8,000 per pupil. The candidate is using this finding to support his charge that the incumbent is weak on education. The newspaper you work for wants to know whether the difference between the population mean ($8,701) and the sample mean ($8,000) suggests that on the whole your state spends less on education than the rest of the country or if the results are likely due to sampling error. a. Write a null hypothesis for this problem. b. Write an alternative hypothesis. (Hint: Think carefully about the context. The candidate's argument is that the state spends less than the rest of the country.) C. What statistical test would you use to evaluate the null hypothesis? Why? d. What would be the appropriate sampling distribution? Why