In: Statistics and Probability
Inimitably instinctive investigator Sheerluck Hopeless studies Professor Marionasty’s evil organization. According to Sheerluck’s data, Marionasty agents carry either a revolver, an automatic, or no gun at all, and three types of small knives, as indicated in the table below. For the population of Marionasty agents, let X = {Gun Type} and Y = {Knive Type}.
Knives |
||||
Guns |
Dagger |
Stiletto |
Switchblade |
Totals |
None |
38 |
47 |
15 |
100 |
Revolver |
17 |
17 |
16 |
50 |
Automatic |
25 |
16 |
9 |
50 |
Totals |
80 |
80 |
40 |
200 |
a. Do these data provide strong evidence that the proportion of agents who carru switchblades is less than one quarter?
I. Test the hypothesis that less than one quarter of agents carry switchblades
II. Find a comparable confidence interval for the proportion of agents who carry switchblades
III. Compare your interval and test results
b. Use this data to test the hypothesis that there is an association between the types of knives and guns that Marinoasty agents carry.