I play a simple online computer game where the game simulates rolling a single
Six sided die. In honor of the carnival game scam video, I am suspicious of whether the simulated die is actually fair, rolling each side at equal frequencies. I collected 700 die roll results, which are listed in the table below. Conduct Chi-Squared GOF test, at the 5% level of significance on the die roll sample to test if the simulated die is indeed a fair one.
Die Roll
1
2
3
4
5
6
2014
Observed
129
131
130
100
108
97
Expected
_______
To conduct this x^2goodness of fit hypothesis test, complete the following steps:
a. Fill out the expected values in the table above.
b. State the null and alternate hypothesis.
c. What is the distribution used in this hypothesis test?
d. State the test statistic. Round to three decimal places.
e. State the p-value of the x^2 hypothesis test.
f. What is the decision?
g. State the conclusion in the context of the problem.