A governmental agency computed the proportion of violent crimes in the United States in a particular year falling into each of four categories. A simple random sample of 500 violent crimes committed in California during that year were categorized in the same way. The following table presents the results. Category U.S. Proportion California Frequency Murder 0.018 4 Forcible Rape 0.07 35 Robbery 0.390 218 Aggravated Assault 0.522 243 Can you conclude that the proportions of crimes in the various categories in California differ from those in the United States as a whole?
A governmental agency computed the proportion of violent crimes in the United States in a particular year falling into each of four categories. A simple random sample of 500 violent crimes committed in California during that year were categorized in the same way. The following table presents the results.
|
Category |
U.S. |
California |
|
Murder |
0.018 |
4 |
|
Forcible Rape |
0.07 |
35 |
|
Robbery |
0.390 |
218 |
|
Aggravated Assault |
0.522 |
243 |
Can you conclude that the proportions of crimes in the various categories in California differ from those in the United States as a whole? Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator.
(b) Find the P-value. Round the answer to at least four decimal places.
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