A random sample of 100 faculty at a university gives the results shown below for professorial rank versus sex.

a. Test for a relationship at the 5% level using a chi-squared statistic.
b. Test for a relationship at the 5% level using logistic regression.
c. Compare the P-values in parts (a) and (b). Is this in accord with your expectations? Explain.
d. Interpret your results. Assuming that today’s assistant professors are tomorrow’s associate professors and professors, do you see implications for the future?

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Rank Professor Assoc Prof Asst Prof Male 25 20 18 Female 9 8 20