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1. 910 randomly sampled registered voters from Tampa, FL were asked if they thou

ID: 3351881 • Letter: 1

Question

1. 910 randomly sampled registered voters from Tampa, FL were asked if they thought workers who have illegally entered the US should be (i) allowed to keep their jobs and apply for US citizenship, (ii) allowed to keep their jobs as temporary guest workers but not allowed to apply for US citizenship, or (iii) lose their jobs and have to leave the country. The results of the survey by political ideology are shown below.1 Political ideology Conservative Moderate L iberal Total 101 278 28 262 45350 (i) Apply for citizenship 57 121 179 15 372 120 113 126 Response () Guest worker Respolise (i) Leave the country (iv) Not sure Tota 20 363 175 910 (a) Does it make sense to label one of these variables the "explanatory" variable and the other one the "response" variable? If so, which is which and justify your answer

Explanation / Answer

It doesn't make any sense to label the variables as response or explanatory. I require the dependent and independent variable in case of regression and correlation analysis. Here the data is categorical. both are variables are measured on nominal scale of measurement. as per the above given scenario it is required to check for independence of political ideology and their response.

I use Chi square test of Independence to check this hypothesis. Consider the null hypothesis that political ideology and their response is independent of each other. this is tested against an alternative hypothesis that political ideology and their response is not independent of each other.

I can see that there is no requirement to categorise these variables as a response or explanatory.