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2. Is the national crime rate really going down? Some sociologists say yes! They say 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 that you are a sociologist in Rock Springs, Wyoming and a random sample of police files showed that of 32 arrests last month, 24 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 ir Rock Springs is different from 70%. a. What is the level of significance? b. State the null and alternate hypotheses. c. What sampling distribution will you use? Is the sample size sufficiently large? Explain. d. Find the value of z (by hand) e. Find the P-value (using the appropriate calculator). f. Should you reject or fail to reject (accept) your null hypothesis? g. Write a conclusion.

2. Is the national crime rate really going down? Some sociologists say yes! They say 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 that you are a sociologist in Rock Springs, Wyoming and a random sample of police files showed that of 32 arrests last month, 24 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 ir Rock Springs is different from 70%. a. What is the level of significance? b. State the null and alternate hypotheses. c. What sampling distribution will you use? Is the sample size sufficiently large? Explain. d. Find the value of z (by hand) e. Find the P-value (using the appropriate calculator). f. Should you reject or fail to reject (accept) your null hypothesis? g. Write a conclusion.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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h Hulu D Disney+ | * Lakewood Infinite Campus Netfiix Tu hin - Day 78 Hypothesis Testing for Proportions Practice D O nsert Format Tools Add-ons Help Last edit was seconds ago Arial -- 12 BIUA CD 回回。 三 三 0% - Normal text 2. Is the national crime rate really going down? Some sociologists say yes! They say 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 arreşts are of males aged 15 to 34 years. Suppese that you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 32 arrests last month, 24 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%. a. What is the level of significance? b. State the null and alternate hypotheses. c. What sampling distribution will you use? Is the sample size sufficiently large? Explain. d. Find the value of z (by hand) e. Find the P-value (using the appropriate calculator). f. Should you reject or fail to reject (accept) your null hypothesis? g. Write a conclusion.
Transcribed Image Text:h Hulu D Disney+ | * Lakewood Infinite Campus Netfiix Tu hin - Day 78 Hypothesis Testing for Proportions Practice D O nsert Format Tools Add-ons Help Last edit was seconds ago Arial -- 12 BIUA CD 回回。 三 三 0% - Normal text 2. Is the national crime rate really going down? Some sociologists say yes! They say 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 arreşts are of males aged 15 to 34 years. Suppese that you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 32 arrests last month, 24 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%. a. What is the level of significance? b. State the null and alternate hypotheses. c. What sampling distribution will you use? Is the sample size sufficiently large? Explain. d. Find the value of z (by hand) e. Find the P-value (using the appropriate calculator). f. Should you reject or fail to reject (accept) your null hypothesis? g. Write a conclusion.
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