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1. [3 points] Complete the following sentence. Two variables are related if _____________ 2. [17 points total]Calculate and interpret a2test for the table below, being

1. [3 points] Complete the following sentence. Two variables are related if _____________

2.[17 points total]Calculate and interpreta2test for the table below, being sure tostate your assumptions,null hypothesisandconclusion[12 points], and thencalculate and interpretfor this table[5 points]. Show yourwork, and any equationsyou use. To avoid multiple repeats of the calculations for expected frequencies, you might:provide the formula for this, do the calculation once for a specific cell of the table, illustrate where the calculation fits in the table immediately- below, and say you repeated the process to get the frequencies you used in the table on the next page. (Space for answering this question continues on the next page.)

Less Than 10 Between 10 and 20 More Than 20 Total
Satisfied 10 38 52 100
Undecided 15 30 5 50
Dissatisfied 15 12 23 50
Total 40 80 80 200

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