Question 5 (of 6) 5. 15.00 points an unscrupulous employee at a casino has tampe

Question

Question 5 (of 6) 5. 15.00 points an unscrupulous employee at a casino has tampered with a die: that is, he is using a 7 times and obtain the following frequencies: Use Table 3 Category Frequency 64 57 57 41 49 29 a. Choose the appropriate alternative hypothesis to test if the population proportions differ All population proportions differ from 1/6 Not all population proportions are equal to 1/6. b-1. Calculate the value of the test statistic. (Round intermediate calculations to at places and final answer to 2 decimal places.) Test statisic b-2. Approximate the p-value 0.100

Explanation / Answer

a) not all population proportion are equal to 1/6

b-1) applying chi square goodness of fit test:

from above test statistic =16.47

b-2) for (categories-1=5) degree of freedom

0.005<p value<0.010

c)

yes since the p value is less then alpha

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E 1 1/6 64.000 49.50 4.25 2 1/6 57.000 49.50 1.14 3 1/6 57.000 49.50 1.14 4 1/6 41.000 49.50 1.46 5 1/6 49.000 49.50 0.01 6 1/6 29.000 49.50 8.49 1 297 297 16.4747

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