Prior to a recent gubernatorial election, a survey was conducted to determine wh

Question

Prior to a recent gubernatorial election, a survey was conducted to determine whether there was a relationship between sexual gender and preference for the Democratic or Republican candidate. The following data were recorded. Assume the data will be analyzed with Chi-square.

Republican Democrat

Female 82 118 Total 200

Male 68 132 Total 200

total 150 total 250

Using a = 0.05, what is your conclusion?

a.

accept H0; there is no relationship between sex and candidate preference

b.

reject H0; there is a significant relationship between sex and candidate preference

c.

retain H0; the study does not show a significant relationship between sex and candidate preference

d.

retain H0; this study shows a significant relationship between sex and candidate preference

a.

accept H0; there is no relationship between sex and candidate preference

b.

reject H0; there is a significant relationship between sex and candidate preference

c.

retain H0; the study does not show a significant relationship between sex and candidate preference

d.

retain H0; this study shows a significant relationship between sex and candidate preference

Explanation / Answer

here TS = 2.09066

p-value = 0.148 > 0.05

hence we fail to reject the null

option C) retain H0; the study does not show a significant relationship between sex and candidate preference   is correct

Please rate my solution

c1 c2 total r1 82 118 200 r2 68 132 200 total 150 250 400 Oi 82 118 68 132 Ei 75 125 75 125 sum (O--Ei)^2/Ei 0.653333 0.392 0.653333 0.392 2.090667 critical value 3.84 p-value 0.148201386

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