3. A research entomologist is interested in evaluating a new chemical formulation for possible use as a pesticide for controlling re ants. She decides to compare its performance relative to the most widely used pesticide on the market, AntKiller. Each of the pesticides is applied to 100 containers of re ants. The new pesticide successfully killed all the re ants within two hours of application in 65 of the 100 containers. 0f the 100 containers treated with AntKiller only 59 had all re ants killed. (a) Is there signicant evidence that the proportion of containers successfully treated by the new formulation is greater than the proportion of containers successfully treated by the for- mula known as AntKiller? Run the appropriate hypothesis test and give me the hypotheses, code, output, and a nice conclusion for your hypothesis test. (13) C0nstruct a 95% condence interval on the differemse in the two proportions. Make sure you write your interpretation in the same manner we would do a two sample Independent t-test. Please do not run a two-sample r-mst