In the population of Americans who drink coffee, the average daily consumption is 3 cups per day. A university wants to know if their students tend to drink more coffee than the national average. They ask 50 students how many cups of coffee they drink each day and found a mean of 4 and standard deviation of 1.1. Do they have evidence that their students drink more than the national average? alpha = 0.05 ) The hypothesis for this [ Select ] two-tailed(sided) right-tailed(sided) left-tailed(sided) test would be: 𝐻 0 : [ Select ] µ<3 µ>3 µ =3 µ≠3 𝐻 𝑎 : [ Select ] µ<4 µ=3 µ≠4 µ>3 The possible decision rules for this test can be made using P-values or critical values. Using Critical Values, the [ Select ] alternative hypothesis null hypothesis is rejected if the test statistic is [ Select ] less greater than [ Select ] 1.96 1.68 2.33 2.576 . Using P-values, the [ Select ] alternative hypthesis null hypothesis is rejected if the P-value is [ Select ] less greater than [ Select ] 0.01 0.10 0.05 . Using the [ Select ] T.Test cor.test prop.test function in R, if we had the actual data, we would find that the point estimate of the mean number of cups of coffee drunken each day is  [ Select ] 4 1.1 3 50 , the test statistic is [ Select ] .0000000255 3 6.43 4 1.1 , and the P-value is [ Select ] 0.05 1.1 .0000000255 .642 . Based on this analysis, we will decide to [ Select ] reject fail to reject the [ Select ] alternative null hypothesis.  We [ Select ] do not have have evidence to suggest that their students drink more than the national average.   c08.p080.q002