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 of 38 arrests last month, 27 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%. 1. What is the value of the sample test statistic? (Round your answer to two decimal places.) 2. Find the P-value of the test statistic. (Round your answer to four decimal places.)

Bullying,” according to noted expert Dan Olweus, “poisons the educational environment and affects the learning of every child.” Bullying and victimization are evident as early as preschool, with the problem peaking in middle school. Suppose you are interested in the emotional well-being of not only the victims but also bystanders, bullies, and those who bully but who are also victims (bully-victims). You decide to measure anxiety in a group of bullies and a group of victims using an 18-item, 5-point anxiety scale. Assume scores on the anxiety scale are normally distributed and that the variances of the anxiety scores are the same among bullies and victims. The group of 23 bullies scored an average of 40.1 with a sample standard deviation of 10 on the anxiety scale. The group of 28 victims scored an average of 46.8 with a sample standard deviation of 11 on the same scale. You do not have any presupposed assumptions about whether bullies or victims will be more anxious, so you formulate…

4. Straight As now, healthy later A study by Pamela Herd of the University of Wisconsin-Madison found a link between high-school grades and health. Analyzing data from the Wisconsin Longitudinal Study, which has tracked the lives of thousands of Wisconsin high-school graduates from the class of 1957, Herd found that students with higher grade-point averages were more likely to say they were in excellent or very good health in their early 60s. Does this mean people will live healthier lives if they increase their GPA? Explain.47

Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1,200 people under 20 years old who were eligible to have a driver's license in 1995 and again in 2016.

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 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 38 arrests last month, 24 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? State the null and alternate hypotheses. O Ho: P = 0.7; H₁: p > 0.7 Ho: P = 0.7; H₁: P = 0.7 O Ho: P = 0.7; H₁: p 5 and nq > 5. O The Student's t, since np 5 and nq > 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.…

Suppose we have the following data available for the average number of hours spent in the Santa Fe College Math lab. Male Female 1.50 0.75 1.20 0.82 1.30 0.91 1.05 0.84 0.75 0.59 0.80 1.02 1.00 1.90 0.95 2.10 0.925 2.20 2.50 2.50 3.00 3.50 3.50 2.20 4.01 1.80   Use Data Displays to comment on the shape of the distribution, measures of center and spread, possible skew, and outliers for both genders. (Hint: Use as many displays as needed.)

You want to examine the relationship between dropping out of high school and delinquency. You have a random sample of 11 students. You have the number of delinquent offenses that each student reported committing in the year before and after dropping out of school. The following table shows the data. Before dropping After dropping Student out out 1 7 2 9. 2 3 4 7 7 8 11 6 11 13 7 8 4 8 8 10 9. 5 7 10 2 1 11 3 From performing a hypothesis test to determine if the mean number of delinquent differs after dropping out, what is the p-value? (Round off to two decimal places if necessary)