A research entomologist is interested in evaluating a new chemical formulation for possible use as a pesticide for controlling fire 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 fire ants. The new pesticide successfully killed all the fire ants within two hours of application in 65 of the 100 containers. Of the 100 containers treated with AntKiller only 59 had all fire ants killed.
a. Is there significant evidence that the proportion of containers successfully treated by the new formulation is greater than the proportion of containers successfully treated by AntKiller? Use α = .05.
b. Use the Fisher exact test to test the research hypothesis that the proportion of containers successfully treated by the new formulation is greater than the proportion of containers successfully treated by AntKiller. Use α = .05. Compare your conclusion to the conclusion reached in (a).
c. Place a 95% confidence interval on the difference in the two proportions.
d. Based on the results in (a), (b), and (c), can the entomologist claim that she has shown that the new formulation is more effective than AntKiller?