A statistics student is asked to test the integrity of the spinner using a chi-square goodness-of-fit test. What is the minimum number of times the spinner should be spun to conduct this test

40 times for 8 sections

30 times for 6 sections

5 times for each category

Step-by-step explanation:

The conditions for the chi square test for goodness of fit are

1) the sample is a random sample

2) the variable under study is categorical

3) all expected value of the number of sample observations are greater or equal to 5.

All counts  must be greater than 5 or at least 5.

So if there are 8 sections or colors of the spinner

Then it must be be spun at least 40 times as 5*8= 40

So if there are 6 sections or colors of the spinner

Then it must be be spun at least 30 times as 5*6= 30

answer: the answer is   graph (a)