In 2011, the average yield (bushels per acre) of organic wheat farms was lower than that of conventional farms (McBride and Greene, 2015). Suppose Diego, an agricultural researcher, wanted to determine if the wheat yield in 2015 showed the same trend. He selected 40 organic wheat farms and 40 conventional wheat farms at random and acquired data on the 2015 wheat yield for each farm. The table presents his summary data. Population Population Sample Sample Sample description size mean standard deviation Organic 1 = 40 X1 = 37.27 $1 = 16.32 Conventional m = 40 *2 = 45.13 $7 = 18.98 Diego's data set did not contain any outliers, so he ran a two-sample it-test at a significance level of c=0.05. The table shows the results of his test Sample Degrees of freedom Statistic Probability means (approximate) di P-value -7.86 39 -1.9859 0.0271 Complete the following sentences to state Diego's decision and conclusion. Diego i the at a significance level of a=0.05. There is evidence to conclude that the average yield of ; the average yield of : # convincing it not convincing it rejects # fails to reject it accepts # null hypothesis I alternate hypothesis # the same as # less than #: greater than # different from # the organic wheat farms in his sample # all organic wheat farms # all conventional wheat farms it the conventional wheat farms in his sample # test statistic it sample size