Farming Income [3 points] Idaho conducts a Census of Agriculture of all farms, including asking about net cash farm income. The 2017 census found that population mean income was u = $18,231. Since all farms were surveyed, population standard deviation o = $42,424. The distribution of farm income is not normally distributed; some outlier farms have very large losses and gains. After events over the past few years, farm income might have changed in some way, either higher or lower. The Department of Agriculture decides to collect a quick sample survey to see if farm income has significantly changed and they choose o = 0.05. 2A. What are the null and alternative hypotheses? 2B. The Agriculture Department is debating if sample size 15 would be sufficient to conduct a one sample Z hypothesis test. Is this sample size sufficient? Briefly explain why or why not. The department decides upon a larger sample and asks 50 farms for their 2021 income. The mean income in the sample was x = $20,776. 2C. Compute the test statistic for this data. 2D. Compute the P-value. 2E. Make a decision and briefly explain your decision