Question

Andre recenty found a die (the traditional, six-sided variety) at the park. He took it home and rolled it 100 times and recorded the results (found in the table below). Is this a 'fair die' or has it been tampered with? Test at the α=0.01 level of significance.

Which would be correct hypotheses for this test?

    H0:

The die is a fair die; H1:
The die has been tampered with
H0:
The die has been tampered with; H1:
The die is a fair die
H0:p1=p2
; H1:p1≠p2
H0:μ1=μ2
; H1:μ1≠μ2

Roll count:

Rolled   Count
1   1
2   5
3   7
4   6
5   3
6   78

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 not enough evidence to suggest that the die has been tampered with.
    There is enough evidence to suggest that the die has been tampered with.

Answer 1