core: 0.38 of 1 pt 4 of 11 (11 complete) HW Score: 72.3%, 7.95 of 11 p %) 10.1.1

Question

core: 0.38 of 1 pt 4 of 11 (11 complete) HW Score: 72.3%, 7.95 of 11 p %) 10.1.11-T Question Help A researcher claims that the number of homicide crimes by season is uniformly distributed. To test this claim, you randomly select 1,205 homicides from a recent year and record the season when each happened. The table shows the results. At a 0.10, test the researcher's claim. Season Spring Summer Fall Winter Frequency, f 308 315 293 289 State Ho and Ha and identify the claim Ho: The distribution of the number of homicide crimes by season is uniformly distributed Ha: The distribution of the number of homicide crimes by season is not uniformly distributed Which hypothesis is the claim? Calculate the test statistic. 1.503 (Round to three decimal places as needed.) Determine the P-value P-value(Round to three decimal places as needed.) ' l. Vi :/? 1. (1,1) More Enter your answer in the answer box and then click Check Answer. part remaining Clear All Check Answer

Explanation / Answer

H0: The distribution of the number of homocide crimes by season is uniformly distributed
H1: The distribution of the number of homocide crimes by season is not uniformly distributed

Claim: H0

From the given data

Test Statistic, X^2: 1.5029

P-Value: 0.6816

Here P-value > alpha 0.10 so we accept H0

Thus we conclude that The distribution of the number of homocide crimes by season is uniformly distributed i.e. claim is valid

Observed Expected Season Freq (Oi) Freq Ei (Oi-Ei)^2 /Ei Spring 308 301.25 0.151244813 Summer 315 301.25 0.627593361 Fall 293 301.25 0.22593361 Winter 289 301.25 0.49813278 Total: 1205 1205 1.502904564

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