3. Crime rates: The FBI computed the proportion of violent crimes in the United States falling into each of four categories. A simple random sample of 500 violent crimes committed in California were categorized in the same way. The following table presents the results. Category U.S. Proportion California Frequency Murder 0.013     5 Forcible Rape 0.051   23 Robbery 0.360 206 Aggravated Assault 0.576 266 Can you conclude that the proportions of crimes in the various categories in California differ from the United States as a whole? Use the 0.05 level of significance.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.