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Introductory Statistics
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Goodness of FIt Test Using TI-84 quiz
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What is the purpose of a goodness-of-fit test?
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What is the purpose of a goodness-of-fit test?
A goodness-of-fit test compares observed frequencies to expected frequencies to determine if data fits a claimed distribution.
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Goodness of FIt Test Using TI-84 definitions
Goodness of FIt Test Using TI-84
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13. Chi-Square Tests & Goodness of Fit
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Goodness of Fit Test Using a TI-84 Example 2
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이 집합의 용어 (15)
하이드의 정의
What is the purpose of a goodness-of-fit test?
A goodness-of-fit test compares observed frequencies to expected frequencies to determine if data fits a claimed distribution.
How do you calculate expected values for equally distributed categories?
Expected values are calculated as e = n / k, where n is the sample size and k is the number of categories.
What is the formula for degrees of freedom in a goodness-of-fit test?
Degrees of freedom are calculated as k - 1, where k is the number of categories.
Where do you enter observed frequencies on the TI-84 for a GOF test?
Observed frequencies are entered in list L1 on the TI-84.
Where do you enter expected values on the TI-84 for a GOF test?
Expected values are entered in list L2 on the TI-84.
Which menu option on the TI-84 is used for the chi-square goodness-of-fit test?
Option D, the chi-square GOF test function, is used for the goodness-of-fit test.
What should you check in the TI-84 menu before running the GOF test?
Ensure observed is set to L1, expected is set to L2, and degrees of freedom match your problem.
What statistic does the TI-84 provide after running the GOF test?
The TI-84 provides the chi-square statistic, p-value, degrees of freedom, and contribution values.
What is the significance level (alpha) commonly used in hypothesis testing?
A common significance level is 0.05, or 5%.
How do you interpret a p-value greater than alpha in a GOF test?
If the p-value is greater than alpha, you fail to reject the null hypothesis, indicating the data fits the claimed distribution.
What does it mean to fail to reject the null hypothesis in a GOF test?
It means there is not enough evidence to conclude the observed frequencies do not match the claim distribution.
What is the null hypothesis in a goodness-of-fit test?
The null hypothesis states that observed frequencies match the claimed distribution.
What is the alternative hypothesis in a goodness-of-fit test?
The alternative hypothesis states that observed frequencies do not match the claimed distribution.
What are contribution values in the TI-84 GOF test output?
Contribution values show what each observed frequency contributes to the chi-square statistic.
What conclusion can you draw if flavor preferences are evenly distributed among categories?
If flavor preferences are evenly distributed, the claim distribution is a good fit for the observed data.