a marketing company selected a sample of 25 lawyers and 25 doctors to determine

Question

a marketing company selected a sample of 25 lawyers and 25 doctors to determine if they had voted in the last election. At a = 0.05, test the claim that the proportions who voted are equal.
Lawyers Doctors Voted: 17 14 Did not vote: 8 11 Total: 25 25
A. There is evidence to reject the claim that the proportions are equal because the test value 3.841 > 0.509. B. There is not evidence to reject the claim that the proportions are equal because the test value 0.764 < 3.841. C. There is not evidence to reject the claim that the proportions are equal because the test value 0.764 < 9.488. D. There is evidence to reject the claim that the proportions are equal because the test value 9.477 > 0.509. a marketing company selected a sample of 25 lawyers and 25 doctors to determine if they had voted in the last election. At a = 0.05, test the claim that the proportions who voted are equal.
Lawyers Doctors Voted: 17 14 Did not vote: 8 11 Total: 25 25
A. There is evidence to reject the claim that the proportions are equal because the test value 3.841 > 0.509. B. There is not evidence to reject the claim that the proportions are equal because the test value 0.764 < 3.841. C. There is not evidence to reject the claim that the proportions are equal because the test value 0.764 < 9.488. D. There is evidence to reject the claim that the proportions are equal because the test value 9.477 > 0.509. a marketing company selected a sample of 25 lawyers and 25 doctors to determine if they had voted in the last election. At a = 0.05, test the claim that the proportions who voted are equal.
Lawyers Doctors Voted: 17 14 Did not vote: 8 11 Total: 25 25
A. There is evidence to reject the claim that the proportions are equal because the test value 3.841 > 0.509. B. There is not evidence to reject the claim that the proportions are equal because the test value 0.764 < 3.841. C. There is not evidence to reject the claim that the proportions are equal because the test value 0.764 < 9.488. D. There is evidence to reject the claim that the proportions are equal because the test value 9.477 > 0.509.

Explanation / Answer

here degree of freedom =(rows-1)*(columns-1) =(2-1)*(2-1) =1

for 1 degree of freedoma and 0.05 level of significance ; critical value =3.841

applying chi square test of independence on above:

here test stat chi square =0.764

therfore option B is correct

Observed O lawyers doctors Total voted 17 14 31 did not vote 8 11 19 Total 25 25 50 Expected E=rowtotal*column total/grand total lawyers doctors Total voted 15.50 15.50 31 did not vote 9.50 9.50 19 Total 25 25 50 chi square =(O-E)^2/E lawyers doctors Total voted 0.1452 0.1452 0.290 did not vote 0.237 0.237 0.474 Total 0.382 0.382 0.764

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