## Related questions with answers

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.

Solution

VerifiedThe 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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