Chapter 10.1, Problem 11E

Performing a Chi-Square Goodness-of-Fit Test In Exercises 7−16, (a) identify the claim and state H₀ and H_a, (h) 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.

11. Homicides by County A researcher claims that the number of homicide crimes in California by county is uniformly distributed. To lest 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. (Adapted from California Department of Justice)

County	Frequency, f
Alameda	116
Contra Costa	55
Fresno	57
Kern	62
Los Angeles	101
Monterey	58
Orange	30
Riverside	65

County	Frequency, f
Sacramento	90
San Bernardino	89
San Diego	45
San Francisco	51
San Joaquin	62
Santa Clara	39
Stanislaus	37
Tulare	43