Suppose two surveys are done to see if Democrats, Independents, and Republicans differ on their agreement with a certain issue and the results are shown in the following two tables.

a. Input the table for Survey A in the Multiple Proportions applet and report the MAD statistic.
b. Do at least 1,000 shuffles to find a null distribution for Survey A. Report your p-value and standard deviation of the null distribution.
c. Input the table for Survey B in the Multiple Proportions applet and report the MAD statistic.
d. Do at least 1,000 shuffles to find a null distribution for Survey B. Report your p-value and standard deviation of the null distribution.
e. You should have found the MAD statistics are the same for both surveys. Explain why they are the same.
f. You should have also found the p-value from Survey B was much smaller than that for Survey A. Explain why this makes sense intuitively.

g. Even though the MAD statistics are the same, explain why the p-value for Survey B is smaller based on the two null distributions.

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Survey A Dem Ind Rep Total Agree 30 25 20 75 Disagree 70 75 225 100 100 100 300 Survey B Ind Dem Rep Total Agree 250 300 200 750 Disagree 750 700 800 2,250 1,000 1,000 1,000 3,000