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Suppose that you are curious to find out if there is any relationship between two variables...

Suppose that you are curious to find out if there is any relationship between two variables - 'gender and alcohol usage'. Discuss why hypothesis test of means may not be useful to make inference in this case. (4 marks)

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To find out if there is any relationship between two variables gender and alcohol usage, hypothesis test of means may not be useful to make inference because the hypothesis tests of means i.e. z-test or t-test requires that the variable is numeric or variable is quantitative and it should follow Normal distribution. In this case variable "Gender" is Categorical variable which is not numeric one and also it is not possible to check whether the gender follows normal distribution or not. So in this case hypothesis tests of means may not be useful to make inference. In fact, Chi-square test of independence is used in such cases.

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