30. A polling organization asks a random sample of 1,000 registered voters which

Question

30. A polling organization asks a random sample of 1,000 registered voters which of two candidates ey plan to vote for in an upcoming election. Candidate A is preferred by 400 respondents, Candidate B is preferred by 500 respondents, and 100 respondents are undecided. George uses a large sample confidence interval for two proportions to estimate the difference in the population proportions favoring the two candidates. This procedure is not appropriate because (A) the two sample proportions were not computed from independent samples (B), the sample size was too small (Cthe third category, undecided, makes the procedure invalid (D) the sample proportions are different; therefore the variances are E) George should have taken the f00-00 have taken the differenceand then used a large sample confidence 1,000 interval for a single proportion instead

Explanation / Answer

(A) The two samples proportions were not computed from independent samples.

To estimate the difference in population proportins favoring the two candidates we need to consider two independent populations either of same size of differnt and from both population we get number of person in favour of candidate A or B

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