Performing a Chi-Square Goodness-of-Fit Test In Exercises 7−16, (a) identify the claim and state H0 and Ha, (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 |
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Elementary Statistics: Picturing the World (7th Edition)
- Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?arrow_forwardWhat is an experiment? Give two examples.arrow_forwardWhat is the difference between events and outcomes? Give an example of both using the sample space of tossing a coin 50 times.arrow_forward
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