Does role at a University affect one’s willingness to be vaccinated? The partial results of a survey are in the table below. What should the number of  students be so that Role (faculty/student) and willingness to be vaccinated are independent?                                Role Willing to be Vaccinated?    Student       Faculty    Total          Yes                              304                 57           No                                                     18         Total

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Does role at a University affect one’s willingness to be vaccinated? The partial results of a survey are in the table below. What should the number of  students be so that Role (faculty/student) and willingness to be vaccinated are independent?

                               Role

Willing to be Vaccinated?    Student       Faculty    Total

         Yes                              304                 57

          No                                                     18

        Total

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Consider a frequency distribution given in a two-way contingency table, with the rows indicating the categories of one of the categorical variables of interest, and the columns indicating the categories of the other categorical variables of interest. Consider the observation in the ith row and jth column of the table, that is, in the cell (i, j).

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