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 if 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
What does a p-value indicate in hypothesis testing?
Back
A p-value indicates the probability of obtaining test results at least as extreme as the observed results, assuming that the null hypothesis is true.
4.
FLASHCARD QUESTION
Front
What is the significance level in hypothesis testing?
Back
The significance level (alpha) is the threshold at which you reject the null hypothesis, commonly set at 0.05.
5.
FLASHCARD QUESTION
Front
What is the null hypothesis (H0)?
Back
The null hypothesis (H0) is a statement that there is no effect or no difference, and it serves as the default assumption in hypothesis testing.
6.
FLASHCARD QUESTION
Front
What is the alternative hypothesis (Ha)?
Back
The alternative hypothesis (Ha) is a statement that indicates the presence of an effect or a difference, opposing the null hypothesis.
7.
FLASHCARD QUESTION
Front
What does it mean if the data does not provide enough evidence to conclude that two variables are related?
Back
It means that the statistical analysis did not show a significant association between the two variables, suggesting they may be independent.
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