Answer :
Option-D is correct that is the larger the difference, the larger the value of chi-square, and the greater the probability of rejecting the null hypothesis.
Given that,
We have to find how will the results of a chi-square test be affected if there is a significant discrepancy between the expected and observed frequencies.
We know that,
If the observed values and expected values have a large difference then the chi-square value will be in large quantity that provides evidence against the null hypothesis and explain the huge difference between the sample data and null hypothesis.
The Chi-square statistic is,
X²=Σ i,j=0 to n (O i, j-E i,j)²/E i,j
Where,
O is the observed frequency value.
E is the Expected frequency value.
Therefore, Option-D is correct that is the larger the difference, the larger the value of chi-square, and the greater the probability of rejecting the null hypothesis.
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