Question

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.

Answer 1

Answer: 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

$v=n-1\\\\v=8-1\\\\v=7$

Hence, Option 'c' is correct.