Jorge was at the park playing with friends. He found a typicaldie with 6 sides on the ground. He took it home and rolled it 100times and recorded the results (found in the table below). Hewanted to see if the die was a 'fair die' or if it was weighted onone side so somone could cheat when playing games!
Is this a 'fair die' or has it been tampered with? Test at theα=0.05 level of significance.
Which would be correct hypotheses for this test?
H0:μ1=μ2
; H1:μ1≠μ2
H0:
The die is a fair die; H1:
The die has been tampered with
H0:p1=p2
; H1:p1≠p2
H0:
The die has been tampered with; H1:
The die is a fair die
Roll count:
Rolled  Count
1Â Â 1
2Â Â 5
3Â Â 4
4Â Â 6
5Â Â 9
6Â Â 75
Test Statistic:
Give the P-value:
Which is the correct result:
Reject the Null Hypothesis
Do not Reject the Null Hypothesis
Which would be the appropriate conclusion?
There is enough evidence to suggest that the die has beentampered with.
There is not enough evidence to suggest that the die has beentampered with.
