In a classic study, Milgram et al. lost stamped envelopes with fictitious addresses (Medical Research Association, Personal Address, Friends of Communist Party, and Friends

In a classic study, Milgram et al. €œ lost€ stamped envelopes with fictitious addresses (Medical Research Association, Personal Address, Friends of Communist Party, and Friends of Nazi Party).* One hundred letters with each address were distributed among four locations ( shops, cars, streets, and phone booths) in New Haven Connecticut, with the following results:

(a) Using the .05 level of significance, test the null hypothesis that address does not matter in the underlying population.
(b) Specify the approximate p - value for this result.
(c) Assuming x2 is significant, estimate the strength of this relationship.
(d) How might these results be reported in the literature?
(e) Collapse the original 4 × 2 table to a 2 × 2 table by combining the results for the two neutral addresses and for the two inflammatory addresses. Calculate the odds ratio for returned letters.

ADDRESS Medical Research Association Personal Address Friends of Communist Party Friends of Nazi Party Tota RETURNED NOT RETURNED TOTAL 72 71 25 25 193 28 29 75 75 207 100 100 100 100 400