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 560 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 0.015 6 Forcible Rape 0.08 28 Robbery 0.390 208 Aggravated Assault 0.515 318   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 0.10 level of significance and the P-value method with the TI-84 Plus calculator,   H0: The proportions of crimes in the various categories in California are/are not the same as those in the United States as a whole.   H1: The proportions of crimes in the various categories in California are/are not the same as those in the United States as a whole.

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