**Examining Plea Deals Based on Attorney Type and Sentencing Outcomes**Mackenzie, a researcher at the Washington Institute for Criminal Justice, is concerned that court-appointed attorneys negotiate harsher plea deals for their clients than privately retained attorneys do. Mackenzie examines data from a randomly selected sample of cases that carried similar maximum sentences where the attorney was court-appointed, and another sample where the attorney was privately-retained, and recorded the plea deal sentences that were agreed to:| Sentence Length | Appointed | Private ||----------------|-----------|---------|| 0 - 6 months | 31 | 55 || 6 - 12 months | 36 | 42 || 12 - 24 months | 38 | 40 || more than 24 months | 47 | 33 |**Test Mackenzie’s Claim at α = 0.05. Where necessary, round results to 4 decimal places.**### a. Determine the null and alternative hypotheses.**Hypotheses Options:**1. $ H_0 $: There is no relationship between plea deals and whether the attorney on the case is privately-retained or court-appointed. $ H_A $: There is a relationship between plea deals and whether the attorney on the case is privately-retained or court-appointed.2. $ H_0 $: The distribution of plea deals arranged by court-appointed attorneys is the same as the distribution of plea deals arranged by privately-retained attorneys. $ H_A $: The distribution of plea deals arranged by court-appointed attorneys is not the same as the distribution of plea deals arranged by privately-retained attorneys.3. $ H_0 $: Plea deals negotiated by privately-retained attorneys are better than plea deals negotiated by court-appointed attorneys. $ H_A $: Plea deals negotiated by privately-retained attorneys are not better than plea deals negotiated by court-appointed attorneys.### b. Determine the Test Statistic.$ \chi^2 $ = ______### c. Determine the p-value.p-value = ______### d. Make a decision.Select an answer: ______### e. Make a conclusion.Choose one of the following:- There IS sufficient evidence to reject the claim that the plea deal negotiated and type of attorney are independent.- There IS NOT sufficient evidence to reject the claim that the plea deal negotiated and type of attorney are independent

H0: There is no relationship between plea deals and whether the attorney on the case is…

Answered: Mackenzie, a researcher at the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A. Headache Pain : There are many over-the-counter pain relievers. By the end of the semester, you have a tremendous headache and are looking for the most effective pain relief available. You conduct a study comparing the three most popular pain relievers and a placebo to see which work best. You use only subjects with headaches and record the amount of time (in minutes) it takes for their headache to go away after they receive the medication. You randomly assign 60 participants to one of the four conditions using a double- + blind procedure. (Use a = Placebo 70 Drug A 30 Drug B 10 Drug C 10 30 60 40 20 50 40 10 10 60 30 40 10 10 40 30 30 30 30 30 10 40 20 20 20 60 40 20 30 50 30 30 10 30 30 20 20 60 20 10 10 20 40 20 30 20 50 20 10 40 20 30 30 State the hypotheses Critical value and df Test statistic
a school wants to see if a tutoring service is helpful for its students. they devised a test similar to the SAT to have the students take, first spliting them into two groups; the first group received the tutoring sessions and the second group did not receive the sessions. The resulting scores after one semester are shown below. Group 1 Group 2 2563 2505 2810 2673 2643 2498 2690 2576 2702 2640 2594 2473 2602 2538 2809 2586 2769 2432 2513 2674 b) What is the test statistic? c) What is the P-value associated with the test statistic?
Job Satisfaction. A study reported in the Journal of Small Business Management concluded that selfemployed individuals do not experience higher job satisfaction than individuals who are not selfemployed. In this study, job satisfaction is measured using 18 items, each of which is rated using a Likerttype scale with 1–5 response options ranging from strong agreement to strong disagreement. A higher score on this scale indicates a higher degree of job satisfaction. The sum of the ratings for the 18 items, ranging from 18 to 90, is used as the measure of job satisfaction. Suppose that this approach was used to measure the job satisfaction for lawyers, physical therapists, cabinetmakers, and systems analysts. The results obtained for a sample of 10 individuals from each profession follow. SatisJob Lawyer Physical Therapist Cabinetmaker Systems Analyst 44 55 54 44 42…
A samll town installed a Blue streetlights, in part, to help reduce crime in particular areas. The city collected the number of property crimes along nine randomly selected streets in the month before and after the Blue light installation, and claims that crime has been reduced.The number of crime data is shown in the table. No before Blue Light After Blue Light 1 17 14 2 25 20 3 10 14 4 14 12 5 16 8 6 34 35 7 32 27 8 21 18 9 14 12 a. Specify the competing hypotheses to test the s,all town's claim.b. Calculate the value of the relevant test statistic and find the critical value at the 5% significance level.c. Does the evidence support the small town's claim at the 5% significance level?
Hamilton County Judges Reporter Kristen DelGuzzi of The Cincinnati Enquirer is writing a piece about the effectiveness of judges in Hamilton County, Ohio. In an overwhelming majority of the cases disposed, the verdict stands as rendered. However, some cases are appealed, and of those appealed, some of the cases are reversed. Over a three-year period the Hamilton County Common Pleas Court, Domestic Relations Court, and Municipal Court handled 182,908 cases. The purpose of the newspaper's study is to evaluate the performance of each court and the judges who render their decisions. Appeals are often the result of mistakes made by judges, and the newspaper wanted to know which court and which judges were doing a good job and which were making too many mistakes. You have been hired to assist in the data analysis at the court level (judge-level analysis will be done at a later time). You must use your knowledge of probability and conditional probability to help determine the likelihood of…
A researcher wants to study the relationship between salary and gender. She randomly selects 392 individuals and determines their salary and gender. Can the researcher conclude that salary and gender are dependent? Income Male Female Total Below $25,000$⁢25,000 48 45 93 $25,000$⁢25,000-$50,000$⁢50,000 38 36 74 $50,000$⁢50,000-$75,000$⁢75,000 46 40 86 Above $75,000$⁢75,000 68 71 139 Total 200 192 392 State the conclusion of the hypothesis test at the 0.010.01 level of significance.
Each year, researchers at the U.S. Bureau of Labor Statistics (BLS) administer the American Time Use Survey (ATUS). Researchers estimate the average amount of time Americans spend on daily activities, such as working, housework, and leisure activities. In particular, one activity that is of interest is the average amount of time Americans spend watching television each day.A researcher complied a random sample of 16 Americans and asked each person how much time they spent watching television each day. The results are given below. 1.9 2.3 3.9 4.4 3.2 1.5 1.2 4.4 0.9 4 0.6 3.9 4.5 1.9 1.8 3.7 Determine the point estimate, x¯ and the sample standard deviation, s. Round the solutions to four decimal places, if necessary.x¯=s=Using a 95% confidence level, determine the margin of error, EE, and a confidence interval for the average time Americans spend watching television each day. Report the confidence interval using interval notation. Round solutions to two decimal places, if…
You may need to use the appropriate technology to answer this question. During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were recorded as ABC 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 97 homes, CBS 68 homes, NBC 91 homes, and independents 44 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. 0.31, PCBS = 0.26, PNBC = 0.27, PIND 0.27, PIND = 0.16. Ho: : The proportions are not pPABC Наi РАВС 3 0.31, РсвS 0.26, PNBC 0.16 0.27, 0.16 Но: РАВС 0.31, Рсвs 3D 0.26, Наi РАВС + 0.31, РсвS PNBC + 0.26, PNBC ± 0.27, , PIND + 0.16 Ho: PABC + 0.31, PCBS + 0.26, PNBC + 0.27, PIND + 0.16 0.26, PNBC 0.27, PIND = 0.16 %D На РАВС - 0.31, РсBs 0.26, PNBC 0.27, PIND 0.16 Нo: РАВС - 0.31, РсBS H: The proportions are not PABC 0.16. 0.31,…
During the first few weeks of the new television season, the evening news audience proportions were recorded as ABC - 31%, CBS - 34%, and NBC - 35%. A sample of 800 homes taken recently yielded the following viewing audience data. Number of Homes ABC 305 CBS 255 NBC 240 We want to determine whether or not there has been a significant change in the proportion of viewing audience of the three networks. a. State the null and alternative hypotheses to be tested. b. Compute the expected frequencies. c. Compute the test statistic. d. Determine the p-value for this test. Make a conclusion in the context of this problem
A foundation asked each person in a representative sample of high school students and in a representative sample of high school teachers which of the rights guaranteed by the First Amendment they thought was the most important. Suppose that the sample size for each sample was 1,000. Data consistent with summary values from the study are summarized in the accompanying table. Students = Teachers Freedom of Speech 658 400 USE SALT Most Important First Amendment Right Freedom of Religion Freedom to Peacefully Assemble Freedom of the Press 30 55 245 420 20 55 Freedom to Petition the Government 47 70 (a) Carry out a hypothesis test to determine if there is convincing evidence that the proportions falling into the five First Amendment rights categories are not the same for teachers and students. Use a significance level of a = 0.01. Calculate the test statistic. (Round your answer to two decimal places.) x²= Use technology to calculate the P-value. (Round your answer to four decimal places.)…

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