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Question

16. The table below lists the results of 200 rolls of a 6-sided die. Use a chi-square goodness of fit test to determine if the die is fair (and thus each side is equally likely to be observed). Use a 0.05 level of significance.

Slide	1	2	3	4	5	6
Number of rolls observed	25	30	49	40	29	27

a) If the die is fair, what is the theoretical expected number of rolls for each side?

b) What is the p-value that results from the chi-square test?

c) What is the conclusion stated in non-technical terms based on the given level of significance?

Answer 1

a) fe = 200/6= 33 1/3

b) sum of (fe-fo)^2/fe = 12.09

use an F table with alpha = 5%, df =k-1 = number of categories minus one. find if it is too much more than 0

if so reject Ho: that the die is fair. Ha: die is unfair

p value < .05, reject Ho