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Chi-Square Goodness-of-Fit Test

A bar graph shows numbers as bars. Taller bar = bigger number.

StatisticsCommon Core DAT-3.AINFVerified correct โœ“

Worked examples

A researcher rolls a fair 5-sided die 60 times. The observed counts are: A: 14, B: 8, C: 14, D: 8, E: 16. Under the null hypothesis, each category has expected count E = 12.0. Compute the chi-square test statistic ฯ‡ยฒ.
Answer: 4.6667
A researcher rolls a fair 5-sided die 80 times. The observed counts are: A: 13, B: 21, C: 18, D: 19, E: 9. Under the null hypothesis, each category has expected count E = 16.0. Compute the chi-square test statistic ฯ‡ยฒ.
Answer: 6

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