3. (20 points) Suppose I roll two dice repeatedly and record the total ouaber of

Question

3. (20 points) Suppose I roll two dice repeatedly and record the total ouaber of sixes for each pair of die rolls. I repeat this experiment 72 times and get the following results: Num Sixes Count 40 28 2 Write out a 2 statistic to use this data to decide whether the die is coming up with these categories in proportions consistent with being a fair die. If you do the math correctly, you should be able to do the arithmetic easily and find the numerical valuc of the 2 value and look it up on the table to get a p-value and make a conclusion for the hypothesis test. If you can't do it, you may round or approximate in order to get a value that you can look up, and make a conclusion based on that. (Do the test with a significance level of 0.05.)

Explanation / Answer

3. (20 points) Suppose I roll two dice repeatedly and record the total ouaber of sixes for each pair of die rolls. I repeat this experiment 72 times and get the following results: Num Sixes Count 40 28 2 Write out a 2 statistic to use this data to decide whether the die is coming up with these categories in proportions consistent with being a fair die. If you do the math correctly, you should be able to do the arithmetic easily and find the numerical valuc of the 2 value and look it up on the table to get a p-value and make a conclusion for the hypothesis test. If you can't do it, you may round or approximate in order to get a value that you can look up, and make a conclusion based on that. (Do the test with a significance level of 0.05.)

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