Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 34 arrests last month, 27 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. State the null and alternate hypotheses. H0: p = 0 .7; H1: p < 0.7 H0: p ≠ 0.7; H1: p = 0.7 H0: p < 0 .7; H1: p = 0.7 H0: p = 0.7; H1: p ≠ 0.7 H0: p = 0.7; H1: p > 0.7 What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and nq < 5. The Student's t, since np < 5 and nq < 5. The Student's t, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) Find the P-value of the test statistic. (Round your answer to four decimal places.) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? At the ? = 0.10 level, we reject the null hypothesis and conclude the data are statistically significant. 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 statistically significant. At the ? = 0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

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Description: Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. Acco

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 21PPS

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Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 34 arrests last month, 27 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.

State the null and alternate hypotheses.

H₀: p = 0 .7; H₁: p < 0.7

H₀: p ≠ 0.7; H₁: p = 0.7

H₀: p < 0 .7; H₁: p = 0.7

H₀: p = 0.7; H₁: p ≠ 0.7

H₀: p = 0.7; H₁: p > 0.7

What sampling distribution will you use?

The standard normal, since np > 5 and nq > 5.

The standard normal, since np < 5 and nq < 5.

The Student's t, since np < 5 and nq < 5.

The Student's t, since np > 5 and nq > 5.

What is the value of the sample test statistic? (Round your answer to two decimal places.)

Find the P-value of the test statistic. (Round your answer to four decimal places.)

Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??

At the ? = 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.

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 statistically significant.

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

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