A collaborator proposes to run a standard Neyman analysis, on the sample of 4, 000 treatment and 4, 000 control children, ignoring the region altogether. Denote 373: = 0.80 the sample average immunization rate in the treatment group, 3% = 0.58 the sample average immunization rate in the control group, a\"; = 1.22 the estimated variance in the treatment group and 0E. : 2.32 the estimated variance in the control group. For this question, please round your answer to 2 decimal points What is the collaborator's estimate of the average treatment effect? For each of the following questions, please round your answer to 3 decimal points What is the collaborator's estimate of the associated variance? You object to the collaborator's approach, and instead propose to use the fact that the randomization was done at the region level very seriously and aggregate the data at the region level. Since the sample is small, you propose to run a Fisher exact test. True or False: The test will test the hypothesis H0 that the average treatment effect is significantly different from 0. At the regional level, the rates of fully immunized children in treatment regions are as follows: - Treatment regions: 85%, 99%, 100%, 76% - Control regions: 26%, 45%, 97%, 72% {Round your answer to 2 decimal points) I. Using a Permutation Table or R code, construct your Fisher exact test. Please enter the p-value you obtained from the test you constructed. ll. True or False? You can you reject H0 at the 5% level. 0 True