Is the crime rate in New York different from the crime rate in New Jersey? Independent random samples from region A (cities in New York) and region B (cities in New Jersey) gave the following information about violent crime rate (number of violent crimes per 100,000 population). (Reference: U.S. Department of Justice, Federal Bureau of Investigation.) Region A 408 457 423 557 409 579 483 417 425 421 606   Region B 391 465 389 479 390 482 434 620 400 442 433 405 Use a 5% level of significance to test the claim that there is no difference in the crime rate distributions of the two states.

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Is the crime rate in New York different from the crime rate in New Jersey? Independent random samples from region A (cities in New York) and region B (cities in New Jersey) gave the following information about violent crime rate (number of violent crimes per 100,000 population). (Reference: U.S. Department of Justice, Federal Bureau of Investigation.)

Region A 408 457 423 557 409 579 483 417 425 421 606  
Region B 391 465 389 479 390 482 434 620 400 442 433 405

Use a 5% level of significance to test the claim that there is no difference in the crime rate distributions of the two states.

(a) What is the level of significance?
(b) Compute the sample test statistic. (Use 2 decimal places.)
(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
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