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 550 violent crimes committed in California during that year were categorized in the same way. The following table presents the results. alalolil Category U.S. _ California Proportion Frequency Murder 0.012 5 Forcible Rape 0.074 33 Q' Robbery 0.360 201 E Aggravated Assault 0.554 311 7 I: I: El Send data TU Excel 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 signicance and the P-value method with the TI-34 Plus calculator. (a) State the null and alternate hypotheses. H0: The proportions of crimes in the various categories in California the same as those in the United States as a whole. H1: The proportions of crimes in the various categories in California are not v the same as those in the United States as a whole. (b) Find the Pvalue. Round the answer to at least four decimal places. The P-value is E]