Asked by
Alexis Sinton
on Oct 10, 2024
Verified
A die is rolled 180 times and the following data are obtained.Is the die fair? Number Frequency
1 31
2 34
3 26
4 16
5 32
6 41
A) H0: The die is not fair. HA: The die is fair (all numbers occur with equal frequency) .
Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency.
B) H0: The die is not fair. HA: The die is fair (all numbers occur with equal frequency) .
Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
C) H0: The die is fair (all numbers occur with equal frequency) . HA: The die is not fair.
Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded.
D) H0: The die is fair (all numbers occur with equal frequency) . HA: The die is not fair.
Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
E) H0: The die is not fair. HA: The die is fair (all numbers occur with equal frequency) .
Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
Loaded Die
Refers to a die that has been tampered with to make certain outcomes more probable than others.
Null Hypothesis
An initial statement that there is no effect or no difference and that any observed variation is due to chance, used as a starting point for statistical testing.
- Employ chi-square analysis techniques to assess distribution hypotheses of categorical data.
- Utilize significance thresholds to determine results in statistical analysis.
Verified Answer
BM
Learning Objectives
- Employ chi-square analysis techniques to assess distribution hypotheses of categorical data.
- Utilize significance thresholds to determine results in statistical analysis.
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