what is the absolute value of the obtained t value?
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A legal researcher was interested in gender differences in the willingness of prosecutors to plea bargain. She recorded the number of times they plea bargained out of their last 10 cases for a sample of eight female prosecutors and seven male prosecutors. Table 2 shows the number of plea bargain cases by gender
Females | Males | ||
9 | 4 | ||
3 | 5 | ||
5 | 7 | ||
9 | 4 | ||
9 | 3 | ||
5 | 4 | ||
7 | 3 | ||
5 |
From performing a hypothesis test to determine if female and male prosecutors differ in their plea bargaining of cases, what is the absolute value of the obtained t value?
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- Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and females, the following question: "Are you annoyed by people who repeatedly check their mobile phones while having an in-person conversation?" Among the 505 males surveyed, 171 responded "Yes"; among the 522 females surveyed, 202 responded "Yes." Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts (a) through (g) below. C -0.0484 ő 0 0.0484 (e) Determine the P-value based on the model from part (d). First find the test statistic for this hypothesis test. (Round to two decimal places as needed.)A team of researchers would like to determine whether the number of households that use the internet for more than an hour a day is greater in large cities or small towns. To do so, the researchers take two random samples. The first sample consists of randomly selected people who live in cities with more than 500,000 people around the country. The second sample consists of randomly selected people who live in towns with fewer than 20,000 people. Are these samples dependent or independent? Select the correct answer below: O These samples are independent. O These samples are dependent. Not enough information is provided to determine independence.Ecologists conducted a study to investigate the potential ecological impact of golf courses. Investigators monitored the reproductive success of bluebirds in birdhouses at nine golf courses and ten similar birdhouses at nongolf sites. Data on nests in birdhouses occupied only by bluebirds are shown in the table. If the proportions of nests occupied is the same for golf and nongolf sites, what would be the expected count of birdhouse with 1 nest in nongolf locations? O nests 1 nest Total 2 or 3 nests Golf 30 42 8 80 Nongolf 40 58 22 120 Total 70 100 30 200 50 b 42 60 d. 58 e 40 O O O O O
- 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 political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.A clinical psychologist is interested in determining which type of therapy is in fact more effective at treating depression. The psychologist randomly assigns 1/3rd of the participants to receive cognitive behavioral therapy, 1/3rd to receive the psychodynamic therapy and 1/3rd to receive humanistic therapy. Following the therapy sessions, the psychologist gives the members of each group the Beck Depression Inventory and compares the scores of the three groups. 1 What hypothesis test would be most appropriate for answering this research question and why? 2 If the researcher found that at least one of groups differed, what type of follow-up test would be most appropriate? 3 What are the independent and dependent variables (if any)?
- A study classified each of 134 lawyers into one of four groups based on observation and an interview. The 62 lawyers in group A were categorized as having high levels of stimulation and support and average levels of public spirit. The 52 lawyers in group B had low stimulation, average support, and high public spirit. Group C contained 7 lawyers with average stimulation, low support, and low public spirit. The 13 lawyers in group D were assessed as low on all three criteria. Salary levels for these four groups were compared. The sample means were 7.87 for group A, 7.47 for group B, 5.14 for group C, and 3.69 for group D. The F ratio calculated from these data was 25.60. a. Prepare the complete analysis of variance table. b. Test the null hypothesis that the population mean salaries are the same for lawyers in these four groups.The results of IKEA's Annual Job Satisfaction Survey showed that 30% of employees are very satisfied with their job, 46% are satisfied, 20% are dissatisfied, and 4% are very dissatisfied. A sample of 50 managers yielded the following results: Category Very satisfied Satisfied Dissatisfied Very dissatisfied Number of Respondents 15 20 10 5 Test using a = 1% to determine whether the job satisfaction for employees is different from the job satisfaction for managers.A research study wanted to examine whether religious belief and gender are related in their state. They selected a representative sample of men and women in their State.Select the null and alternative hypothesis of the test: H0: there is no relationship between gender and belief about human originsHa: there is a relationship between gender and belief about human origins H0: there is a relationship between gender and belief about human originsHa: there is no relationship between gender and belief about human origins Results of the study are summarized in this table for the Belief about human origins: religious texts evolutionary theory total male 30 36 66 female 110 89 199 total 140 125 265 The degrees of freedom for the the ?2 statistic are Round the following numbers to two places after the decimal:The test statistic is ?2 = with a p-value = The conclusion of the test at the 5% significance level is There is not enough statistical evidence to suggest that gender…
- Hospital administrators at a local hospital are interested in quality of care. As such, they ask a random sample of patients that have used the hospital's health care services to fill out a questionnaire. The questionnaire has questions about the patient's worry (negative, positive), the hospital staff's communication skills (low, medium, high), and satisfaction with medical care. The administrators are interested in how patient's worry and their assessment of the hospital staff's communication impact their satisfaction with medical care. The survey data are below. What can the administrators conclude with an α of 0.01? Communication Worry low med high negative 76868 54545 67495 positive 86677 78687 78666 A) Input the appropriate value(s) to make a decision about H0.Worry: p-value = Communication: p-value = Interaction: p-value = B) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).Worry: η2 = Communication: η2 =…The GfK Custom Research Organization conducted identical surveys five years apart. One question asked women: “Are most men basically kind, gentle, and thoughtful"? The earlier survey revealed that, of the 3550 women surveyed, 2350 said that they were. In the later survey, 2250 of the 3550 women surveyed thought that men were kind, gentle, and thoughtful. Can we conclude that women think men are less kind, gentle, and thoughtful in the later survey compared with the earlier one? Use 0.01 significance level. Calculate and interpret the p-value. a. State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answer to 3 decimal places.) The decision rule is to reject Ho if z is less than b. Compute the pooled proportion. (Round the final answer to 2 decimal places.) The pooled proportion is: c. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.) The test statistic is:…During the pandemic, an HR manager randomly assigned 6 employees to work from homeand the other 6 employees to work from the office as usual. After three months, all 12employees’ job performance was tested. Scores for those working from home were 10, 12,14, 13, 11, 12, and scores for those who worked from the office were 8, 6, 10, 8, 9, and 7.The HR manager then compares the scores from both groups to determine which groupscores significantly higher.Based on the experiment above,a) Carry out a t-test using five steps of hypothesis testing with the 0.05 level ofsignificance at one-tailed. Explain your finding.b) Sketch the t-distribution involved.