A politician claims that the mean salary for managers in his state is more than the national mean, $81,000. Assume the the population is normally distributed and the population standard deviation is $8100. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At a = 0.06, is there enough evidence to support the claim? Use technology. 90,563 89,627 71,959 93,904 81,085 97,75 82, 155 97,787 82,792 86,348 95,703 72,572 89,760 89,979 76,487 86,747 80,464 73,895 75,179 70.244 74,860 90,665 79,069 92,331 80, 163 95,458 94,662 87,306 91,246 86,835 (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: H > 81,000 O B. Ho: H> 81,000 O C. Ho: HS81,000 Ha: H s 81,000 Ha: HS 81,000 Ha: H > 81,000 O D. Ho: H = 81,000 OE. Ho: H # 81,000 OF. Ho: H 2 81,000 Ha: H # 81,000 Ha: H= 81,000 Ha: H