Is the national crime rate really going down? Some sociologists say yes! They sa
ID: 3183417 • Letter: I
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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 is demographics. It seems that the population is ageing, 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, 21 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%. (a) What is the level of significance? 0.1 State the null and alternate hypotheses. H_0: p = 0.7; H_1: p notequalto0.7 H_0: p notequalto 0.7: H_2: p = 0.7 H_0: p 5. the standard normal, since npExplanation / Answer
c. Here H0:p=0.7 vs H1:p not equal to 0.7
Now np>5 so we can use normal approximation
Mean=np=21.76 and sd=sqrt(npq)=2.83
Now we need to find z=x-np/sqrt(npq)=23.8-21.76/2.83=0.72
c. The P-Value is 0.471525.
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