Answer :
The degree of freedom, df value for the chi-square statistic is 3.
In this question,
The chi-square goodness of fit test evaluates whether proportions of categorical or discrete outcomes in a sample follow a population distribution with hypothesized proportions. As a hypothesis test, the chi-square goodness of fit test allows you to use your sample to draw conclusions about an entire population.
Here,
Sample, n = 100
Number of categories, the sample is divided = 4
df is the degrees of freedom.
If there is a K category in the dataset and we want to apply chi-square goodness of fit test. Then, their degree of freedom df will be of k-1.
Thus, degree of freedom, df = k - 1
⇒ df = 4 - 1
⇒ df = 3
Hence we can conclude that the degree of freedom, df value for the chi-square statistic is 3.
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