A six-sided die is rolled 120 times (results listed in table below). Face Value Frequency 1 15 2 29 3 16 4 15 5 30 6 15 Determine if the die is fair (if it is fair, what is the expected frequency of each face value through 120 rolls?). Test at the 1% level. (vii) Comparing p-value and α value, which is the correct decision to make for this hypothesis test? A. Reject Ho B. Fail to reject Ho C. Accept Ho D. Accept HA Enter letter corresponding to correct answer. (viii) Select the statement that most correctly interprets the result of this test: A. The result is not statistically significant at .01 level of significance. Sufficient evidence exists to support the claim that distribution of observed rolls of the die does NOT fit the distribution of expected rolls. There is sufficient evidence to support the hypothesis that the die is NOT fair. B. The result is statistically significant at .01 level of significance. Sufficient evidence exists to support the claim that distribution of observed rolls of the die does NOT fit the distribution of expected rolls. There is sufficient evidence to support the hypothesis that the die is NOT fair. C. The result is not statistically significant at .01 level of significance. There is not enough evidence to support the claim that distribution of observed rolls of the die does NOT fit the distribution of expected rolls. There is insufficient evidence to support the hypothesis that the die is NOT fair. D. The result is statistically significant at .01 level of significance. There is not enough evidence to support the claim that distribution of observed rolls of the die does NOT fit the distribution of expected rolls. There is insufficient evidence to support the hypothesis that the die is NOT fair.
q10c
A six-sided die is rolled 120 times (results listed in table below).
|
Face Value |
Frequency |
|
1 |
15 |
|
2 |
29 |
|
3 |
16 |
|
4 |
15 |
|
5 |
30 |
|
6 |
15 |
Determine if the die is fair (if it is fair, what is the expected frequency of each face value through 120 rolls?). Test at the 1% level.
(vii) Comparing p-value and α value, which is the correct decision to make for this hypothesis test?
A. Reject Ho
B. Fail to reject Ho
C. Accept Ho
D. Accept HA
Enter letter corresponding to correct answer.
(viii) Select the statement that most correctly interprets the result of this test:
A. The result is not statistically significant at .01 level of significance. Sufficient evidence exists to support the claim that distribution of observed rolls of the die does NOT fit the distribution of expected rolls. There is sufficient evidence to support the hypothesis that the die is NOT fair.
B. The result is statistically significant at .01 level of significance. Sufficient evidence exists to support the claim that distribution of observed rolls of the die does NOT fit the distribution of expected rolls. There is sufficient evidence to support the hypothesis that the die is NOT fair.
C. The result is not statistically significant at .01 level of significance. There is not enough evidence to support the claim that distribution of observed rolls of the die does NOT fit the distribution of expected rolls. There is insufficient evidence to support the hypothesis that the die is NOT fair.
D. The result is statistically significant at .01 level of significance. There is not enough evidence to support the claim that distribution of observed rolls of the die does NOT fit the distribution of expected rolls. There is insufficient evidence to support the hypothesis that the die is NOT fair.
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