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)

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? State the null and alternate hypotheses.
(b) Compute the sample test statistic. What is the sampling distribution?
What conditions are necessary to use this distribution?
(c) Find the P-value of the sample test statistic.
(d) Conclude the test.
(e) Interpret the conclusion in the context of the application.

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Region A554 517 492 561 577 621 512 580 543 605 531 Region B475 419 505 575 395 433 521 388 375 411 586415