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. Men Women Total For Bond Issue Against Bond Issue 52 17 69 a) What is the correct null hypothesis? 208 173 381 Total 260 190 450

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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 a = 0.05.
For Bond Issue Against Bond Issue
52
208
17
173
69
381
Men
Women
Total
a) What is the correct null hypothesis?
O Ho: P1 P2 P3 P4
Ho: P₁ P2 = P3 = P4
ⒸH: Gender and Bond Issue Attitudes are Independent.
OH: Gender and Bond Issue Attitudes are dependent.
b) Fill in the expected values, round answers to 1 decimal place.
Expected
Values
For Bond Issue
Against
Bond Issue
220.13
Men
Women
39.87
29.13
c) Chi Square Test Statistic 10.3
d) The p-value=
Degree's of Freedom = 1
Or
OB
160.87 ✔
Total
260
190
450
3 decimal places
OB
01 decimal place
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.
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 a = 0.05. For Bond Issue Against Bond Issue 52 208 17 173 69 381 Men Women Total a) What is the correct null hypothesis? O Ho: P1 P2 P3 P4 Ho: P₁ P2 = P3 = P4 ⒸH: Gender and Bond Issue Attitudes are Independent. OH: Gender and Bond Issue Attitudes are dependent. b) Fill in the expected values, round answers to 1 decimal place. Expected Values For Bond Issue Against Bond Issue 220.13 Men Women 39.87 29.13 c) Chi Square Test Statistic 10.3 d) The p-value= Degree's of Freedom = 1 Or OB 160.87 ✔ Total 260 190 450 3 decimal places OB 01 decimal place 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. 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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