In Bloomington, they randomly sampled 260 female voters, and 190 male voters. They collected data on the respondent's opinion on an environmental bond issue. We want to know whether there is good evidence that one's gender influences whether a person is for or against the bond issue. Use a = 0.05. For Bond Issue Against Bond Issue 52 17 69 Men Women Total a) What is the correct null hypothesis? O Ho: P₁ P2 P3 P4 O Ho: P₁ = P2 = P3 P4 O Ho: Gender and Bond Issue Attitudes are Independent. O Ho: Gender and Bond Issue Attitudes are dependent. Expected Values Men b) Fill in the expected values, round answers to 1 decimal place. For Bond Issue Against Bond Issue Women 208 173 381 c) Chi Square Test Statistic = Degree's of Freedom = Total 260 190 450 1 decimal place

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In Bloomington, they randomly sampled 260 female voters, and 190 male voters. They collected data on
the respondent's opinion on an environmental bond issue. We want to know whether there is good evidence
that one's gender influences whether a person is for or against the bond issue. Use α = 0.05.
For Bond Issue Against Bond Issue
Total
52
260
17
190
69
450
Men
Women
Total
a) What is the correct null hypothesis?
O Ho: P₁
P2 P3 P4
O Ho: P₁ P2 = P3 P4
O Ho: Gender and Bond Issue Attitudes are Independent.
O Ho: Gender and Bond Issue Attitudes are dependent.
b) Fill in the expected values, round answers to 1 decimal place.
For Bond
Issue
Against
Bond Issue
Expected
Values
Men
Women
c) Chi Square Test Statistic =
208
173
381
Degree's of Freedom =
d) The p-value =
1 decimal place
3 decimal places
e) What is the correct conclusion?
O Because the p-value is greater than alpha, we reject the Ho. There is statistical evidence that
attitudes on the bond issue are dependent on gender.
O Because the p-value is less than alpha, we fail to reject the Ho. There is not enough statistical
evidence to prove that attitudes on the bond issue are dependent on gender.
O Because the p-value is greater than alpha, we fail to reject the Ho. There is not enough statistical
evidence to prove that attitudes on the bond issue are dependent on gender.
O Because the p-value is less than alpha, we reject the Ho. There is statistical evidence that attitudes
on the bond issue are dependent on gender.
Transcribed Image Text:In Bloomington, they randomly sampled 260 female voters, and 190 male voters. They collected data on the respondent's opinion on an environmental bond issue. We want to know whether there is good evidence that one's gender influences whether a person is for or against the bond issue. Use α = 0.05. For Bond Issue Against Bond Issue Total 52 260 17 190 69 450 Men Women Total a) What is the correct null hypothesis? O Ho: P₁ P2 P3 P4 O Ho: P₁ P2 = P3 P4 O Ho: Gender and Bond Issue Attitudes are Independent. O Ho: Gender and Bond Issue Attitudes are dependent. b) Fill in the expected values, round answers to 1 decimal place. For Bond Issue Against Bond Issue Expected Values Men Women c) Chi Square Test Statistic = 208 173 381 Degree's of Freedom = d) The p-value = 1 decimal place 3 decimal places e) What is the correct conclusion? O Because the p-value is greater than alpha, we reject the Ho. There is statistical evidence that attitudes on the bond issue are dependent on gender. O Because the p-value is less than alpha, we fail to reject the Ho. There is not enough statistical evidence to prove that attitudes on the bond issue are dependent on gender. O Because the p-value is greater than alpha, we fail to reject the Ho. There is not enough statistical evidence to prove that attitudes on the bond issue are dependent on gender. O Because the p-value is less than alpha, we reject the Ho. There is statistical evidence that attitudes on the bond issue are dependent on gender.
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