During a marksmanship exercise, every participant fires at a target until he/she hits the target once. You hypothesize that all applicants are equally proficient (i.e., have the same probability of hitting the target) and that the hit probability does not vary by shot (i.e., all participants have the same hit probability on all shots). Furthermore the shots are independent across individuals and independent across shots for the same individual. You believe that the hit probability is 0.4. There are 100 participants. Below is the results of the exercise. It specifies how many of the participants first hit the target after the given number of shots. For example 42 hit the target on the first shot, 15 first hit the target on the third shot, 20 take at least 5 shots to first hit the target #Shots to first hit target #Participants 1 42 2 12 3 15 4 11 5 or more 20 Perform the appropriate hypothesis test at the alpha = 0.05 level to evaluate your belief. Report the p-value to at least at least 2 significant digits