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, 27 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. What distribution will be used for this test? Is this test right-tailed, left-tailed, or two-tailed? (a) H₁: k Right-tailed Area a Calculate the sample test statistic: Find the P-value for this test. Will you reject or fail to reject the null hypothesis? State your conclusion by filling in the blanks: At (c) H₁: μk Two-tailed Area = x/2 Critical region Critical region Using the critical region method which curve represents this test: What is the critical value for this test? Critical regions (from textbook table) (two decimal places) Area = a/2 (use textbook tables) % level of significance, (reject or fail to reject) the null hypothesis. There is (sufficient or insufficient) evidence to claim that the population proportion of such arrests in Rock Springs is different from 70%.
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, 27 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. What distribution will be used for this test? Is this test right-tailed, left-tailed, or two-tailed? (a) H₁: k Right-tailed Area a Calculate the sample test statistic: Find the P-value for this test. Will you reject or fail to reject the null hypothesis? State your conclusion by filling in the blanks: At (c) H₁: μk Two-tailed Area = x/2 Critical region Critical region Using the critical region method which curve represents this test: What is the critical value for this test? Critical regions (from textbook table) (two decimal places) Area = a/2 (use textbook tables) % level of significance, (reject or fail to reject) the null hypothesis. There is (sufficient or insufficient) evidence to claim that the population proportion of such arrests in Rock Springs is different from 70%.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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, 27 were of males aged 15
to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.
What distribution will be used for this test?
Is this test right-tailed, left-tailed, or two-tailed?
(b) Η: μ > k
Right-tailed
Area = a
AXA
k
(a) Η: με k
Left-tailed
Area = a
k
Find the P-value for this test.
(c) H₁: k
Critical region
Critical region
Using the critical region method which curve represents this test:
What is the critical value for this test?
Calculate the sample test statistic:
Will you reject or fail to reject the null hypothesis?
State your conclusion by filling in the blanks:
At
Two-tailed
Area = x/2
k
Critical regions
(from textbook table)
(two decimal places)
(use textbook tables)
Area = a/2
% level of significance, (reject or fail to reject)
the null hypothesis. There is (sufficient or insufficient)
evidence to claim that the population proportion of such arrests in Rock Springs is different from 70%.
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