The spinner for a board game has eight colors the arrow can land on. what are the degrees of freedom for a goodness-of-fit test of the fairness of this spinner?

a. 9
b. 8
c. 7
d. 6
e. we can't determine the degrees of freedom without knowing the sample size.

Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Number of colors that the arrow can land on = 8

We need to find the degrees of freedom for a goodness of fit test of the fairness of this spinner.

As we know that degree of freedom is 1 less than the size of sample.

So, Mathematically, it is expressed as below:

So, Degree of freedom would be

Hence, Option 'c' is correct.