Imagine you are part of the research team for an online dating app tech company. On the app, people can sign up for a free account that asks only a few questions or a paid monthly subscription premium account that asks numerous questions. Responses are then used by the computer algorithm to match people. In theory, the more questions people match on, the better the chance for a long-term relationship. After one month, you randomly select people from each group (free and paid accounts) and survey them if they had gone on at least one third date with a match during that past month. (You are hoping that the paid account shows more matches!) Perform a 2-group chi-square test to determine whether type of account is associated with third-date status. State your conclusion using your obtained chi-square statistic compared with the chi-square critical value and remember to denote the degrees of freedom properly. Show all work and use 3 decimals for rounding. Fobserved Account Type TotalPaid Free Had a 3rd date with a match 21 14 35 Did not have a 3rd date 34 56 90 Total 55 70 125 Fexpected Account Type Total Paid Free Had a 3rd date with a match Did not have a 3rd date Total