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Test the significant difference between Chi-square for attributes
The issue of how much should be spent to solve particular U.S. social problems is a complex matter, and people have diverse and conflicting ideas on these issues. Race and social class have an impact on how people perceive the extent of government spending. The 2006 GSS contains several questions on these topics. For this exercise, we present race and the variable NATFARE, which asked whether we were spending too much, too little, or the right amount of money to address welfare.
Spending on
Race of Respondent
Welfare
White
Black
Hispanic
Total
Too little
128
41
21
190
About right
197
32
250
Too much
185
31
19
235
510
104
61
675
Test whether race and NATFAE are independent (α = 0.05). What do you conclude?
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Determine the p-value, and at 95% confidence, test the hypotheses.
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(a) Use the steps of hypothesis testing, (b) figure the effect size for the study; and (c) explain your answers to (a) and (b) to someone who has never had a course in statistics.
At a 5% level of significance, is there enough evidence from this survey to conclude that more than half of all adults would rather have $100 than a day off?
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