Chi-Square Test Worksheet
A Grade 10 Math worksheet covering the Chi-Square Test, including hypothesis formulation, calculating expected frequencies, and interpreting results.
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Chi-Square Test Worksheet
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Read each question carefully and provide your answers in the space provided. Show all your work for calculations.
1. What is the primary purpose of a Chi-Square test in statistics?
2. In a Chi-Square test, the null hypothesis (H₀) states that there is between the observed and expected frequencies, while the alternative hypothesis (H₁) states that there a significant difference.
3. For a contingency table with 'r' rows and 'c' columns, what is the formula for calculating the degrees of freedom (df)?
df = r * c
df = (r - 1) + (c - 1)
df = (r - 1) * (c - 1)
df = r + c - 1
4. A school wants to determine if there is a preference for certain lunch options. Out of 200 students, 60 chose pizza, 50 chose burgers, 40 chose salad, and 50 chose sandwiches. If there was no preference (i.e., equal distribution), how many students would be expected to choose each option?
5. If the calculated p-value from a Chi-Square test is less than the significance level (e.g., 0.05), we fail to reject the null hypothesis.
True
False
6. A geneticist is studying the inheritance of two traits in pea plants: seed color (yellow/green) and seed shape (round/wrinkled). A cross between two heterozygous plants is expected to produce offspring in a 9:3:3:1 ratio (Yellow/Round: Yellow/Wrinkled: Green/Round: Green/Wrinkled). In an experiment, 160 offspring were observed with the following counts: Yellow/Round=98, Yellow/Wrinkled=28, Green/Round=24, Green/Wrinkled=10. Calculate the expected frequencies for each phenotype.