For a chi-square test for goodness-of-fit, which of the following is a valid null hypothesis? A) p₁ = 0.3, p₂ = 0.4, p₃ = 0.3 B) There is no relationship between blood type and hair color in the population. C) p₁ = 0.25, p₂ = 0.5, p₃ = 0.5 D) All of the above are valid null hypotheses.

Question

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The correct answer is A because it specifies the expected proportions (probabilities) for each category, which is appropriate for a chi-square test for goodness-of-fit. This test compares observed frequencies to expected frequencies based on the null hypothesis.

For a Chi-Square Test for Goodness-Of-Fit, Which of the Following