Question

Criminologists have long debated whether there is a relationship between weather conditions and the incidence of violent crime. The author of an article classified 1363 homicides according to season, resulting in the accompanying data. Test the null hypothesis of equal proportions using α = 0.01.

Winter	Spring	Summer	Fall
328	333	375	327

State the appropriate hypotheses.

H₀: p₁ = p₂ = p₃ = p₄ = 0.25

H_a: at least one p_i does not equal 0.25

H₀: p₁ ≠ p₂ ≠ p₃ ≠ p₄ ≠ 0.25

H_a: all p_i's = 0.25

H₀: p₁ = p₂ = p₃ = p₄ = 0.25

H_a: no p_i = 0.25

H₀: p₁ ≠ p₂ ≠ p₃ ≠ p₄ ≠ 0.25

H_a: at least one p_i = 0.25

Compute the test statistic value. (Round your answer to three decimal places.)
χ² =  

Answer 1

The statistical software output for this problem is :

H₀: p₁ = p₂ = p₃ = p₄ = 0.25

H_a: at least one p_i does not equal 0.25

Test statistics = 4.651