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 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 34 arrests last month, 20 were of males aged 15 to 34 years. Use a 5% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. LUSE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P < 0.7; H₁: p = 0.7 O Ho: P = 0.7; H₁: p < 0.7 Ho: P = 0.7; H₁: p > 0.7 O Ho: P0.7; H₁: P = 0.7 O Ho: P = 0.7; H₁: P = 0.7 (b) What sampling distribution will you use? O The standard normal, since np < 5 and nq < 5. O The Student's t, since np < 5 and nq < 5. O The Student's t, since np > 5 and nq > 5. O The standard normal, since np > 5 and n > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value.
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 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 34 arrests last month, 20 were of males aged 15 to 34 years. Use a 5% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. LUSE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P < 0.7; H₁: p = 0.7 O Ho: P = 0.7; H₁: p < 0.7 Ho: P = 0.7; H₁: p > 0.7 O Ho: P0.7; H₁: P = 0.7 O Ho: P = 0.7; H₁: P = 0.7 (b) What sampling distribution will you use? O The standard normal, since np < 5 and nq < 5. O The Student's t, since np < 5 and nq < 5. O The Student's t, since np > 5 and nq > 5. O The standard normal, since np > 5 and n > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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