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the table below shows the average number of hours students spend studying for classes each day in the high school is the average number of hours dependent on the type of student what would you say based on a question we need to perform a test of independence but using a chi-square distribution so the first thing we need to do is complete the contingency table so lets find the totals of each column 76 plus 147 is 223 143 plus 109 that gives us a total of 252. 91 plus 64 is 155. now lets find the total of the last row 223 plus 252 plus 155 gives us a total of 630. now lets find the totals of the other two rows 76 plus 143 plus 91 thats going to be 310 147 plus 109 plus 64 gives us 320 310 plus 320 is 630. now before we move on to the next table lets talk about the null hypothesis and the alternative hypothesis so the null hypothesis is that the average number of hours is independent of the type of student the alternative hypothesis this is what we want to test were testing to see i