Last month a random sample of 1000 subjects were interviewed and asked whether t

Question

Last month a random sample of 1000 subjects were interviewed and asked whether they think the president is doing a good job. This month the same subjects were asked this again. The results are: 450 said "yes" each time, 450 said "no" each time 60 said "yes" on the first survey and "no" on the second survey, and 40 said "no" on the first survey and "yes" on the second survey. a. Form a contingency table showing these results. b. Estimate the proportion given a favorable rating (i) last month and (ii) this month.

Explanation / Answer

Following is the completed contingency table:

(b)

(i)

Required proportion is 510 /1000 = 0.51

(ii)

This month required proprotion is 490 / 1000 = 0.49

Yes No Total Last month 450+60=510 450+40=490 1000 This month 450+40=490 450+60=510 1000 Total 1000 1000 2000

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