The table below shows the rank attained by male and female officers in the NYPD. Do these data indicate that gender and rank are independent? Rank Officer Detective Sergeant Lieutenant Captain Higher Ranks Male 21900 4058 3898 1333 359 218 Female 4281 806 415 89 12 a) Notice that this situation involves two categorical variables in which we have a table of observed values. Your calculator will give you a table of expected values when you run the test. Give the name of the hypothesis test that would be appropriate for this situation. b) State the hypotheses in words. c) Use your calculator to perform the appropriate hypothesis test and report the test statistic, p- value and degrees of freedom. Be sure to write out what you entered in your calculator. Use a significance level of ? = 0.05
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The table below shows the rank attained by male and female officers in the NYPD. Do these data indicate that gender and rank are independent?
Rank
Officer
Detective
Sergeant
Lieutenant
Captain
Higher Ranks
Male
21900
4058
3898
1333
359
218
Female
4281
806
415
89
12
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a) Notice that this situation involves two categorical variables in which we have a table of observed values. Your calculator will give you a table of
expected values when you run the test. Give the name of the hypothesis test that would be appropriate for this situation.
-
-
b) State the hypotheses in words.
-
c) Use your calculator to perform the appropriate hypothesis test and report the test statistic, p- value and degrees of freedom. Be sure to write out what you entered in your calculator. Use a significance level of ? = 0.05
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