A gambler complained about dice. They seemed to be loaded! The dice were taken o
ID: 3436750 • Letter: A
Question
A gambler complained about dice. They seemed to be loaded! The dice were taken off of the table and tested one at a time. One die was rolled 300 times and the following frequencies were recorded.
Outcome
1
2
3
4
5
6
Observed Frequency
62
45
63
32
47
51
Assuming the null hypothesis is that the observed frequency distributions are the same and the sample 2 = 13.44, then at the 1% level of significance do we accept or reject the null hypothesis?
Select one:
A. Reject null hypothesis
B. Do Not Reject null hypothesis
C. Not enough information
D. None of the above
Outcome
1
2
3
4
5
6
Observed Frequency
62
45
63
32
47
51
Explanation / Answer
A gambler complained about dice. They seemed to be loaded! The dice were taken off of the table and tested one at a time. One die was rolled 300 times and the following frequencies were recorded.
Outcome
1
2
3
4
5
6
Observed Frequency
62
45
63
32
47
51
Assuming the null hypothesis is that the observed frequency distributions are the same and the sample 2 = 13.44, then at the 1% level of significance do we accept or reject the null hypothesis?
Select one:
A. Reject null hypothesis
B. Do Not Reject null hypothesis
C. Not enough information
D. None of the above
Degrees of freedom for chi square = 6-1=5
At 1% level table value =15.086
Calculated chi square=13.44 < 15.086, the table value
The null hypothesis is not rejected.
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
62
50.
12.000
2.880
45
50.
-5.000
0.500
63
50.
13.000
3.380
32
50.
-18.000
6.480
47
50.
-3.000
0.180
51
50.
1.000
0.020
300
300
13.440
Outcome
1
2
3
4
5
6
Observed Frequency
62
45
63
32
47
51
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.