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What is the null hypothesis for a chi-square test? Two variables are related in the sample...

  1. What is the null hypothesis for a chi-square test?

    Two variables are related in the sample

    Two variables are related in the population

    Two variables are unrelated in the sample
Math   Statistics-And-Probability   
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Answer #1

Two variables are unrelated in the population.

Solution:

The null and alternative hypotheses for the chi-square test for independence between two categorical variables are given as below:

Null hypothesis: H0: Two categorical variables are independent. Two variables are not related in the population.

Alternative hypothesis: Ha: Two categorical variables are dependent. Two variables are related in the population.

We always test hypothesis for a population parameter and not for a sample statistic.

Two variables are unrelated in the population.

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