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A researcher claims that the number of homicide crimes in California by season is uniformly distributed. To test this claim, you randomly select 1200 homicides from a recent year and record the season when each happened. The table shows the results. At α = 0.05, test the researcher’s claim.
Season Frequency, f
Spring ……………. 309
Summer ………….. 312
Fall ………………. 290
Winter ……………. 289
(a) Identify the expected distribution and state H0 and Ha,
(b) Find the critical value and identify the rejection region,
(c) Find the chi-square test statistic,
(d) Decide whether to reject or fail to reject the null hypothesis,
(e) Interpret the decision in the context of the original claim. |
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