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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 16E
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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
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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