A survey of voter sentiment was conducted in four midcity political wards to compare the fraction of voters favoring candidate A. Random samples of 200 voters were polled in each of the four wards, with the results as shown in the accompanying table. The numbers of voters favoring A in the four samples can be regarded as four independent binomial random variables.
Construct a likelihood ratio test of the hypothesis that the fractions of voters favoring candidate
A are the same in all four wards. Use a = .05.
Ward
Opinion 1 2 3 4 Total
Favor A 76 53 59 48 236
Do not favor A 124 147 141 152 564
Total 200 200 200 200 800