TWO WAY CHI SQUARE gender and taxes with answers

TWO WAY CHI SQUARE gender and taxes with answers - f o f e...

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TWO WAY CHI SQUARE You have the following data regarding gender and attitude toward paying taxes. Gender Attitude toward amount of taxes paid Male Female Total Too Much 60 33 93 Right Amount 55 54 109 Too Little 32 68 100 Total 147 155 302 Null Hypothesis: There is no association between the variables Gender and Attitude Toward Paying Taxes Research Hypothesis: There is an association between the variables Gender and Attitude Toward Paying Taxes Compute a Chi Square test of significance Formula for Chi Square Chi Square f e = expected frequencies = e e o f f f 2 2 ) ( χ f o = observed frequencies For Two way f e = (column total)(row total) N (two way) df = (r – 1)(c – 1) r = the number of rows c = the number of columns You will create a table again to calculate the chi square for a two way test, the main difference here is how you calculate f e . Cell
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Unformatted text preview: f o f e f o-f e (f o-f e ) 2 (f o-f e ) 2 /f e Upper left 60 45.27 14.73 216.97 4.79 Upper right 33 47.73 -14.73 216.97 4.55 Middle left 55 53.06 1.94 3.76 0.07 Middle right 54 55.94 -1.94 3.76 0.07 Lower left 32 48.68 -16.68 278.22 5.72 Lower right 68 51.32 16.68 278.22 5.42 SUM for X 2 20.61 What are your degrees of freedom? Df=(r-1)(c-1)= 2 What is your critical value from the Chi Square table? For which levels of significance? Critical Value for Chi Square is 5.991 at 0.05 level of significance. What does this tell us about our calculated Chi Square and our population? What can we say about the null hypothesis? Because our obtained Chi Square of 20.61 is larger than 5.991 we can reject the null hypothesis and say that there is an association between the variables Gender and Attitude Toward Paying Taxes....
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