An agricultural researcher wants to conduct a paired difference test to determine if the mean number of milk cows (in thousands) in the US changed between 2011 and 2015. Round all calculated values to 4 decimal places as appropriate. 1. Which hypotheses should be used to conduct the test? A. Ho Haff=0 vs. H. Haff > 0 OB. Ho Haff=0 vs. H. Has 0 C. Ho Haiff <4.5 vs. H. Haff > 4.5 D. Ho Maff0 vs. H, Haff <0 2. Assume the conditions for the hypothesis test are met and find the test statistic and the p-value. test statistic p-value= 3. Based on the p value we have ? evidence that the null model is not a good fit for our observed data. 4. Construct a 95% confidence interval for the mean difference in the number of milk cows (in thousands) between 2011 and 2015. Dairy cows-The USDA collects and distributes a wide variety of data about agriculture in the United States. One statistic reported each year is the number of milk cows (in thousands) in each state. A random sample of 10 states is selected, with the number of milk cows reported in both 2011 and 2015. State 2011 2015 Difference Georgia 79 83 4 New York 610 618 8 Nevada 29 29 0 Minnesota 468 460 -8 Massachusetts 13 12 -1 Nebraska 57 57 0 Michigan 366 408 42 Tennessee 50 45 -5 Virginia 96 911 -5 Indiana 172 182 10 18 mean 194 198.5 4.5 sd 210.955 216.158 14.362