You are to test a 6-sided die to see if it is really fair. Perform a goodness-of-fit test on the dataset below which includes the number of rolls that turned up each face value. face: 1 2 3 4 5 16 count: 13 17 14 22 18 16 Test the hypothesis that the die is fair against the alternative that it is not fair at significance level =0.05: Ho: all faces come up 1/6 of the time (the die is fair) Ha: not all faces come up 1/6 of the time (the die is not fair) Select the answer that is correct. O Test statistic: c = 0.1848 p-value: p = 0.9993 Do not reject the null hypothesis, our data is not evidence that the die is unfair. O Test statistic: c = 3.08 p-value: p = 0.6877 Do not reject the null hypothesis, our data is not evidence that the die is unfair. O Test statistic: c = 3.08 p-value: p = 0.0069 Reject the null hypothesis, our data is evidence that the die is unfair. O none of these O Test statistic: c = 3.08 p-value: p = 0.3123 Do not reject the null hypothesis, our data is not evidence that the die is unfair. Test statistic: c = 3.08 p-value: p = 0.7987 Do not reject the null hypothesis, our data is not evidence that the die is unfair.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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You are to test a 6-sided die to see if it is really fair. Perform a goodness-of-fit test on the dataset below which includes the
number of rolls that turned up each face value.
face:
1
2
3
5
16
count: 13
17
14
22
18
16
Test the hypothesis that the die is fair against the alternative that it is not fair at significance level
a = 0.05.
Ho: all faces come up 1/6 of the time (the die is fair)
Ha: not all faces come up 1/6 of the time (the die is not fair)
Select the answer that is correct.
O Test statistic: c = 0.1848
p-value: p = 0.9993
Do not reject the null hypothesis, our data is not evidence that the die is unfair.
O Test statistic: c = 3.08
p-value: p = 0.6877
Do not reject the null hypothesis, our data is not evidence that the die is unfair.
Test statistic: c = 3.08
p-value: p = 0.0069
Reject the null hypothesis, our data is evidence that the die is unfair.
O none of these
O Test statistic: c = 3.08
p-value: p = 0.3123
Do not reject the null hypothesis, our data is not evidence that the die is unfair.
O Test statistic: c = 3.08
p-value: p = 0.7987
Do not reject the null hypothesis, our data is not evidence that the die is unfair.
Transcribed Image Text:You are to test a 6-sided die to see if it is really fair. Perform a goodness-of-fit test on the dataset below which includes the number of rolls that turned up each face value. face: 1 2 3 5 16 count: 13 17 14 22 18 16 Test the hypothesis that the die is fair against the alternative that it is not fair at significance level a = 0.05. Ho: all faces come up 1/6 of the time (the die is fair) Ha: not all faces come up 1/6 of the time (the die is not fair) Select the answer that is correct. O Test statistic: c = 0.1848 p-value: p = 0.9993 Do not reject the null hypothesis, our data is not evidence that the die is unfair. O Test statistic: c = 3.08 p-value: p = 0.6877 Do not reject the null hypothesis, our data is not evidence that the die is unfair. Test statistic: c = 3.08 p-value: p = 0.0069 Reject the null hypothesis, our data is evidence that the die is unfair. O none of these O Test statistic: c = 3.08 p-value: p = 0.3123 Do not reject the null hypothesis, our data is not evidence that the die is unfair. O Test statistic: c = 3.08 p-value: p = 0.7987 Do not reject the null hypothesis, our data is not evidence that the die is unfair.
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