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 436 408 539 489 439 600 402 595 422 434 486 Region B 438 435 428 556 534 470 616 401 478 430 379 415 Use a 10% 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. Ho: Distributions are different. H1: Distributions are the same.Ho: Distributions are the same. H1: Distributions are different. Ho: Distributions are the same. H1: Distributions are the same.Ho: Distributions are different. H1: Distributions are different. (b) Compute the sample test statistic. (Use 2 decimal places.) What sampling distribution will you use? chi-squareStudent's t normaluniform What conditions are necessary to use this distributions? Both sample sizes must be less than 10.At least one sample size must be less than 10. Both sample sizes must be greater than 10.At least one sample size must be greater than 10. (c) Find the P-value of the sample test statistic. (Use 4 decimal places.) (d) Conclude the test? At the ? = 0.10 level, we reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.10 level, we fail to reject the null hypothesis and conclude the data are statistically significant. (e) Interpret your conclusion in the context of the application. Fail to reject the null hypothesis, there is sufficient evidence that the crime rate distributions differ.Fail to reject the null hypothesis, there is insufficient evidence that the crime rate distributions differ. Reject the null hypothesis, there is sufficient evidence that the crime rate distributions differ.Reject the null hypothesis, there is insufficient evidence that the crime rate distributions differ.

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 436 408 539 489 439 600 402 595 422 434 486 Region B 438 435 428 556 534 470 616 401 478 430 379 415 Use a 10% 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. Ho: Distributions are different. H1: Distributions are the same.Ho: Distributions are the same. H1: Distributions are different. Ho: Distributions are the same. H1: Distributions are the same.Ho: Distributions are different. H1: Distributions are different. (b) Compute the sample test statistic. (Use 2 decimal places.) What sampling distribution will you use? chi-squareStudent's t normaluniform What conditions are necessary to use this distributions? Both sample sizes must be less than 10.At least one sample size must be less than 10. Both sample sizes must be greater than 10.At least one sample size must be greater than 10. (c) Find the P-value of the sample test statistic. (Use 4 decimal places.) (d) Conclude the test? At the ? = 0.10 level, we reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.10 level, we fail to reject the null hypothesis and conclude the data are statistically significant. (e) Interpret your conclusion in the context of the application. Fail to reject the null hypothesis, there is sufficient evidence that the crime rate distributions differ.Fail to reject the null hypothesis, there is insufficient evidence that the crime rate distributions differ. Reject the null hypothesis, there is sufficient evidence that the crime rate distributions differ.Reject the null hypothesis, there is insufficient evidence that the crime rate distributions differ.

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Description: 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 cr

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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Region A	436	408	539	489	439	600	402	595	422	434	486
Region B	438	435	428	556	534	470	616	401	478	430	379	415

Use a 10% 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.

H_o: Distributions are different. H₁: Distributions are the same.H_o: Distributions are the same. H₁: Distributions are different. H_o: Distributions are the same. H₁: Distributions are the same.H_o: Distributions are different. H₁: Distributions are different.

(b) Compute the sample test statistic. (Use 2 decimal places.)

What sampling distribution will you use?

chi-squareStudent's t normaluniform

What conditions are necessary to use this distributions?

Both sample sizes must be less than 10.At least one sample size must be less than 10. Both sample sizes must be greater than 10.At least one sample size must be greater than 10.

At the ? = 0.10 level, we reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.10 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

(e) Interpret your conclusion in the context of the application.

Fail to reject the null hypothesis, there is sufficient evidence that the crime rate distributions differ.Fail to reject the null hypothesis, there is insufficient evidence that the crime rate distributions differ. Reject the null hypothesis, there is sufficient evidence that the crime rate distributions differ.Reject the null hypothesis, there is insufficient evidence that the crime rate distributions differ.

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