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# Members of a certain club are required to register for one of three games: badminton, table tennis or darts. The number of club members of each gender choosing each game in a particular year is shown in the table.$\begin{matrix} \text{ } & \text{Badminton} & \text{Table tennis} & \text{Darts}\\ \text{Male} & \text{37} & \text{16} & \text{28}\\ \text{Female} & \text{32} & \text{10} & \text{19}\\ \end{matrix}$Use a chi-squared test, at the 5% significance level, to test whether choice of game is independent of gender. State clearly the null and alternative hypotheses, the expected values and the number of degrees of freedom.

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The goal of this task is to use the given contingency table, to test the independence between the choice of game and gender while stating the $H_0$ and $H_1$, expected values, and number of degrees of freedom.

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