A sociologist wishes to study whether the rank attained by officers in the New York City Police Department (NYPD) is related to gender. Data have been collected for both male and female officers in NYPD. The summary data and test for independence results from StatCrunch are given below. At a= 0.05 level of significance, draw a conclusion about whether these data indicate that the rank of the officer is independent of gender.
A sociologist wishes to study whether the rank attained by officers in the New York City Police Department (NYPD) is related to gender. Data have been collected for both male and female officers in NYPD. The summary data and test for independence results from StatCrunch are given below. At a= 0.05 level of significance, draw a conclusion about whether these data indicate that the rank of the officer is independent of gender.
(a) Is this an observational study or experiment?
(b) What are the explanatory and response variables, respectively?
Explanatory variable:
Response variable:
(c) Write down the null and alternative hypotheses of the test for independence.
Rows: RANK
Columns: GENDER
| male | female | total | |
| officer | 21900 | 4281 | 26181 |
| detective | 4058 | 806 | 4864 |
| sergeant | 3898 | 415 | 4313 |
| lieutenant | 1333 | 89 | 1422 |
| captain | 359 | 12 | 371 |
| higher ranks | 218 | 10 | 228 |
| total | 31766 | 5613 | 37379 |
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