Criminal Justice Question

Assignment 3: Hypothesis Testing I One Sample Test

Due Date: See due date provided in Canvas

Time and Location: You will need to turn in the assignment to the TurnItin submission portal by 11:59 pm the day that it is due. Please do not email or put the assignment in Dr. Jacksons mailbox. If you have problems turning the assignment in, please email Dr. Jackson immediately so that we can resolve the issue. Early submissions are welcome.

Submission Format: Please submit the assignments as a Microsoft Word document. If you are using other word processors, be sure to use the save as tool and save the document in either the Microsoft Word, Rich-Text, or the plain text format.

Grading Criteria: Your grade will be based on the following:

Content How well did you answer the question(s) and is your answer relevant to the question or topic.

Grammar Use complete sentences when applicable, proper punctuation, and correct spelling.

Make sure you address the questions in the assignments using complete sentences or in table format (e.g., frequency distributions, etc.). Your response must be typed, aligned left, and double-spaced in a 12-point font (Times New Roman or Calibri) with a 1-inch margin.

Provide a complete heading that includes your first and last name, the course name, meeting time (internet), assignment information, and date.

SEE NEXT PAGE FOR THE ASSIGNMENT AND ADDITIONAL INSTRUCTIONS.

Assignment 3: Complete the problems that follow the instructions below.

Please follow the guidelines below when completing your work for the assignments.

1. For each question complete the 5 steps of hypothesis testing. SHOW YOUR WORK! This includes your calculations for step four.

a. While this may seem like a lot, it will help you practice hypothesis testing, which you will see on the final exam. Also, this will help me identify any areas that you missed and will keep you from losing much needed points on the questions. Be sure to include all steps in the process.

b. Use the examples provided in the book to help you set this up (see pages 204, 205-206, 209, and 211).

2. When you are calculating the answers be sure to round to the third decimal place. This is what I will use when I work on the problems to get the answers.

3. Round your final answer to the second decimal place (unless the question instructs you to do otherwise).

4. Please answer the questions in complete sentences (this is in reference to step five of hypothesis testing. Also, provide the z or t statistic (whichever one is appropriate) in your answer. Take a look at the practice problem video that I posted to see the best format and way to write up each of the five steps.

SEE NEXT TWO PAGES FOR THE QUESTIONS.

Complete the each of the problems below. Be sure to follow the instructions and guidelines outlined above. Use Alpha () = 0.05 to test the hypotheses, unless otherwise stated in the problem.

1. The students at Jackson High School cut an average of 5.4 classes per month. A random sample of 138 seniors averages 5.7 cuts per month, with a standard deviation of 0.53. Are seniors significantly different from the student body as a whole?

(HINT: The wording of the research question suggests a two-tailed test. This means that the alternative, or research hypothesis in step 2 will be stated as H1: 3.3 and that the critical region will be split between the upper and lower tails of the sampling distribution. See table 8.3 for values of Z(critical) for various alpha levels. Table 8.3 is in the Chapter 8 PowerPoint and it is titled Finding Critical Z Scores for One- and Two-Tailed Tests.

2. A sample of 105 correctional officers working for the Texas Department of Criminal Justice (TDCJ), earns an average $36,238 per year. The average salary for all TDCJ employees is $36,090, with a standard deviation of $774. Are the correctional officers overpaid? Conduct both one- and two-tailed tests.

3. A school system has assigned several hundred chronic and severe underachievers to an alternative educational experience. To assess the program, a random sample of 35 has been selected for comparison with all students in the system.

a. In terms of GPA, did the program work?

b. In terms of absenteeism (number of days missed per year), what can be said about the success of the program?

c. In terms of standardized test scores in math and reading, was the program successful?

4. Statewide, the police clear by arrest 35% of robberies and 42% of aggravated assaults reported to them. A researcher takes a random sample of all the robberies (N = 279) and aggravated assaults (N = 252) reported to a metropolitan police department in one year and finds that 115 of the robberies and 110 of the assaults were cleared by arrest. Are the local arrest rates significantly different from the statewide rates? Write a sentence or two interpreting your decision.

If you have the course textbook, please use the Students t distribution on page 447 for the problems that require you to use the t distribution rather than the z distribution. If you do not have access to the book you can use the Students t distribution table below. The differences in the two tables are minor and will not have a negative impact on your answers. See table 8.3 for values of Z(critical) for various alpha levels. Table 8.3 is in the Chapter 8 PowerPoint and it is titled Finding Critical Z Scores for One- and Two-Tailed Tests.

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