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 Colorado 128 146 18 Pennsylvania 541 530 Georgia 79 83 4 Virginia 96 91 -5 Oregon 121 125 4 mm 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? OA. Ho : Maiff = Ovs. Ha : Mdiff > 0 OB. Ho : Maiff = Ovs. Ha : Mdiff 1.7 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