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In a telephone survey of 800 registered voters, the data are cross classified both by gender of respondent and

In a telephone survey of 800 registered voters, the data are cross classified both by gender of respondent and by respondent鈥檚 opinion on an environmental bond issue.
Bond issue
For Against
Men 450 150
Women 160 40
We want to know whether there is good evidence that one鈥檚 gender influences whether a person is for or against the bond issue. Use the chi-square test to answer this question. State the hypotheses, discuss conditions, perform calculations, and report your conclusions. (18 points)

H0: there is no difference
H1: there is a difference

Observed results
For Against
Men 450 150
Women 160 40

Expected results if H0 is true
For Against
Men 457.5 142.5
Women 152.5 47.5

X^2 = 鈭?(Observed - Expected)^2 / Expected
= 2.07

In this case your dof = 1, so from the 蠂^2 tables, see that a value of 2.07 gives us a p value somewhere between 0.10 and 0.25.
That's not enough evidence to show there is a difference.

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