As April 15 approaches, the Pew Research Center has conducted a national survey

Question

As April 15 approaches, the Pew Research Center has conducted a national survey among 924 adults. The following JMP output is based on their political party identifications and responses, when asked how they feel about doing their taxes.

(a) Is there any association between Americans’ political party identifications and their reactions to filing income taxes ? Based on JMP output, carry out the test at 1% level of significance. (b) Compute the odds ratio of "hating filing tax" for Republicans and Democrats. Give an interpretation of this ratio.

Contingency Analysis of Filing Income Tax By Political Party Identification Freq: Frequency Contingency Table Filing Income Tax Count ve it Like it Neutral Dislike it Hate it Tot 79 65 302 Expected Republican 74 19 105 independent 18 95 50 274 18 35 21 74 277 249 924 79 78 120 13 263 14.2316 77.9892 21.0628 78.8431 70.8734 16.342 89.5541 24.1861 90.5346 81.3831 19.4264 106.457 28.7511 107.622 96.7435 Demorcat 105359 Tests Test Likelihood Ratio Pearson ChiSquare .979 20.209 19

Explanation / Answer

a) Based on the JMP output, The chi-square statistic value is 20.209

The critical value of Chi-square at (3-1)*(5-1) = 2*4 = 8 degrees of freedom and at 0.01 level of significance is 20.090.

since the statistic value is greater than the critical value i.e., 21.209 > 20.090 reject the null hypothesis and conclude that there is some assocoation between Americans political party identification and their reactions to filling income taxes.

b) the odds ratio of hating filling tax for Republicans and democrats is given by 79: 65

Which indicates that for every 79 republicans who hate filling tax there are 65 democrats who also hate to fill the tax.

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