What is the Chi-Square test statistic?

Module 12 Practice Questions (2)

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Mathematics
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University
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The Chi-Square test statistic is a measure used to determine whether there is a significant difference between the expected and observed frequencies in categorical data.
2.
FLASHCARD QUESTION
Front
How is the Chi-Square test statistic calculated?
Back
The Chi-Square test statistic is calculated using the formula: χ² = Σ((O - E)² / E), where O is the observed frequency and E is the expected frequency.
3.
FLASHCARD QUESTION
Front
Given an observed count of 60 and an expected count of 50, what is the contribution to the Chi-Square test statistic?
Back
2.00
4.
FLASHCARD QUESTION
Front
What does a P-value indicate in hypothesis testing?
Back
A P-value indicates the probability of obtaining the observed results (or more extreme) if the null hypothesis is true.
5.
FLASHCARD QUESTION
Front
What is the significance level in hypothesis testing?
Back
The significance level (often denoted as alpha, α) is the threshold at which you decide whether to reject the null hypothesis, commonly set at 0.05.
6.
FLASHCARD QUESTION
Front
What conclusion can be drawn if the P-value is less than the significance level?
Back
If the P-value is less than the significance level, you reject the null hypothesis, indicating that there is sufficient evidence to support the alternative hypothesis.
7.
FLASHCARD QUESTION
Front
What is a null hypothesis?
Back
A null hypothesis is a statement that there is no effect or no relationship between variables, and it serves as the default assumption in hypothesis testing.
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