In a study that is looking at the proportion of statistics majors that are male

Question

In a study that is looking at the proportion of statistics majors that are male and female at a particular university, which of the following could be a null hypothesis for a chi-square test? I. 50% of statistics majors at this university are male, and 50% are female. II. More than 50% of statistics majors are male. III. The proportions of male and female statistics majors at this university are the same as that for the national population.

a. I only

b. III only

c. I and III only

d. II and III only

Explanation / Answer

We use chi square goodness of fit for testing if given distribution fit to the sample data.

Hence here the null hypothesis will be ,

III. The proportions of male and female statistics majors at this university are the same as that for the national population.

Hence the correct option is b. III only.

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