You suspect that an unscrupulous employee at a casino has tampered with a die; that...
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You suspect that an unscrupulous employee at a casino has tampered with a die; that is, he is using a loaded die. In order to test this claim, you roll the die 300 times and obtain the following frequencies: (You may find it useful to reference the appropriate table: chi-square table or F table)
Category
1
2
3
4
5
6
Frequency
58
52
54
48
56
32
Click here for the Excel Data File
a. Choose the appropriate alternative hypothesis to test if the population proportions differ.
multiple choice 1
All population proportions differ from 1/6.
Not all population proportions are equal to 1/6.
b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
c. Find the p-value.
multiple choice 2
p-value 0.10
0.05 p-value < 0.10
0.025 p-value < 0.05
0.01 p-value < 0.025
p-value < 0.01
d. At the 1% significance level, can you conclude that the die is loaded?
multiple choice 3
Yes since the p-value is less than significance level.
Yes since the p-value is more than significance level.
No since the p-value is less than significance level.
No since the p-value is more than significance level.
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