statistics math

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 demographks. 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 les showed that of 35 arrests last month, 25 were of males aged 15 to 34 years. Use a 5% level of signicance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. IA USE SALT (a) What is the level of signicance? |:| State the null and alternate hypotheses. OHo:p 0.7 (b) What sampling distribution will you use? 0 The Student's t, since up > 5 and nq > 5. O The standard normal, since np 5. O The Student's t, since up a: 5 and nq a: 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) |:| (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) |:| Sketch the sampling distribution and show the area corresponding to the P-value