Criminologists have long debated whether there is a relationship between weather

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 1359 homicides according to season, resulting in the accompanying data. Test the null hypothesis of equal proportions using alpha= 0.01. State the appropriate hypotheses. H_0: P_1=P_2 = P_3 = P_4 = 0-25 H_a: no p_1 = 0.25 H_o:P_i notequalto P_2 notequalto P_3 notequalto P_4 notequalto 0.25 H_0: all p_i's = 0.25 H_o:P_i notequalto P_2 notequalto P_3 notequalto P_4 notequalto 0.25 H_0: at least one p_i = 0.25 H_o: P_1=P_2=P_3=P_4 = 0-25 H_0: at least one p_i does not equal 0.25 Compute the test statistic value. (Round your answer to three decimal places.) What can we say about the P-value? P-value

Explanation / Answer

a) Correct answer : Option (A)

b) Test Statistic

Chisquare value = 4.158205

Critical X^2:        11.34488

P-Value:             0.2449

b) Correact answer: P value > 0.10

c) Here p-value 0.2449 < alpha (0.01) we reject H0.

Correct Answer: OPtion (a)

Oi Ei (Oi-Ei)^2/Ei 330 339.75 0.279801 332 339.75 0.176784 372 339.75 3.061258 325 339.75 0.640361 Total; 4.158205

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