Jorge was at the park playing with friends. He found a typical die with 6 sides...

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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 theÎ±=0.05 level of significance.
Which would be correct hypotheses for this test?
H0:Î¼1=Î¼2
; H1:Î¼1â‰ Î¼2
H0:
The die is a fair die; H1:
The die has been tampered with
H0:p1=p2
; H1:p1â‰ p2
H0:
The die has been tampered with; H1:
The die is a fair die
Roll count:
RolledÂ Â 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.

Answer & Explanation Solved by verified expert

3.8 Ratings (671 Votes)

SolutionState the hypotheses The first step is tostate the null hypothesis and an alternative hypothesisNull hypothesis p1 p2 p3 p4 p5 p6Alternative hypothesis At least one of the proportions in thenull hypothesis is falseFormulate an analysis plan For this analysisthe significance level is See Answer

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