A researcher claims that the number of homicide crimes in California by county is uniformly distributed. To test this claim, you randomly select 1000 homicides from a recent year and record the county in which each happened. The table shows the results. At α = 0.01, test the researcher’s claim.

(a) Identify the claim and state H₀ and H_a, 

(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, and 

(e) Interpret the decision in the context of the original claim.

Transcribed Image Text:

County Frequency, f County Frequency, f Alameda 116 Sacramento 90 Contra Costa 55 San Bernardino 89 Fresno 57 San Diego 45 62 Kern San Francisco 51 Los Angeles 101 San Joaquin 62 Monterey 58 Santa Clara 39 Orange 30 Stanislaus 37 Tulare Riverside 65 43