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 years.Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of33arrests last month,24were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests is the city different from 70%. Solve the problem using both the traditional method and theP-value method. Since the sampling distribution ofpis the normal distribution, you can use critical values from the standard normal distribution as shown in thetable of critical values of thezdistribution. (Round the test statistic and the critical value to two decimal places. Round theP-value to four decimal places.)