In Bloomington, they randomly sampled 280 female voters, and 230 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 67 213 14 216 81 429 Men Women Total a) What is the correct null hypothesis? Ho: Gender and Bond Issue Attitudes are Independent. O Ho: P1 P2 = P3 = P4 O Ho: P1 P2 P3 P4 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 = Degree's of Freedom = d) The p-value = O Total 280 230 510 1 decimal place 3 decimal places e) What is the correct conclusion? 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. 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. 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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In Bloomington, they randomly sampled 280 female voters, and 230 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
67
213
14
216
81
429
a) What is the correct null hypothesis?
Ho: Gender and Bond Issue Attitudes are Independent.
O Ho: P1 = P2 = P3 = P4
O Ho: P1 P2 P3 P4
OH: 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 =
Degree's of Freedom =
d) The p-value =
Total
280
230
510
1 decimal place
3 decimal places
e) What is the correct conclusion?
● 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.
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.
Transcribed Image Text:In Bloomington, they randomly sampled 280 female voters, and 230 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 67 213 14 216 81 429 a) What is the correct null hypothesis? Ho: Gender and Bond Issue Attitudes are Independent. O Ho: P1 = P2 = P3 = P4 O Ho: P1 P2 P3 P4 OH: 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 = Degree's of Freedom = d) The p-value = Total 280 230 510 1 decimal place 3 decimal places e) What is the correct conclusion? ● 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. 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.
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