A CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. Better Same Worse Repbulican 104 38 44 Democrat 12 87 137 None 21 90 118 If we randomly select one of the adults who participated in this study, compute (round to four decimal places) a. P(Democrat): b. P(same) = c. P(same|Democrat) = d. P(Democrat|same) = e. P(Democrat and same) =

A CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. Better Same Worse Repbulican 104 38 44 Democrat 12 87 137 None 21 90 118 If we randomly select one of the adults who participated in this study, compute (round to four decimal places) a. P(Democrat): b. P(same) = c. P(same|Democrat) = d. P(Democrat|same) = e. P(Democrat and same) =

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Is gender independent of education level ? A random sample of 395 people were surveyed and each person was asked to report the highest education level they obtained .The data that resulted from the survey is summarized in the following table: High School Bachelors Masters PhD. Female 60 54 46 41 Male 40 44 53 57 Question: Are gender and education level dependent at 5percent level of significance ? In other words given the data collected above is there a relationship between the gender of an individual and the level of education that they have obtained ?
A local bank has three branch offices. The bank has a liberal sick leave policy, and the CEO was concerned with employees taking advantage of this policy. She thought that the tendency to take advantage depended on the branch at which the employee worked. To see if there were differences in the time employees took for sick leave, she asked each branch manager to sample employees randomly and record the number of days of sick leave taken during 2020. Ten employees were chosen, and the data are listed below. Do this data indicate a difference in branches? Use a level of significance of 0.05. Ho: H₂: Branch 1 Branch 2 Branch 3 Source Treatments Error Total Degrees of freedom: Rejection region: Test statistic: Decision: Conclusion: 15 11 18 df 2 7 9 20 15 19 SS 89.8333 50.6667 140.5000 19 11 23 MS 44.9167 7.2381 14 F 6.2056
A report included data from a study in which 789 people in a representative sample of college students age 18 to 24 were asked how they perceive their money management skills. Possible responses were excellent, good, average, not very good, and poor. Each student in the sample was also classified by sex, resulting in the data in the table. Perception of Money Management Skills Not Very Good Excellent Good Average Poor Male 102 138 88 17 8 Female 81 193 136 22 4 Is there convincing evidence that there is an association between sex and how students perceive their money management skills? Test the relevant hypotheses using a significance level of a = 0.05. State the appropriate null and alternative hypotheses. O Ho: The proportions falling into each of the four perceptions of money management skills are the same for both sexes. H: The proportions falling into each of the four perceptions of money management skills are not the same for both sexes. O Ho: There is an association between sex…
A study was done looking at cancer rates near a large factory. The researchers collected data for the survey by placing signs around town, listing a survey website that people could log into if they or their family members developed cancer in the last 10 years. What main type of bias in present in this study design? Resemblance bias Low sample size bias Volunteer bias Sample of convenience
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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?
How do the average weekly incomes of electricians and carpenters compare? A random sample of 17 regions in the United States gave the following information about average weekly income (in dollars). (Reference: U.S. Department of Labor, Bureau of Labor Statistics.) Region 1 2 3 4 5 6 7 8 9 Electricians 464 715 597 464 736 694 744 571 806 Carpenters 542 813 513 476 688 503 789 653 474 Region 10 11 12 13 14 15 16 17 Electricians 592 594 702 579 868 598 597 654 Carpenters 489 647 676 384 817 605 556 505 Does this information indicate a difference (either way) in the average weekly incomes of electricians compared to those of carpenters? Use a 5% level of significance. (a) What is the level of significance? (b) Compute the sample test statistic. (c) Find the P-value of the sample test statistic.
You're trying to find out how many students who graduate with accounting degrees from large universities are employed at graduation. You design an experiment where you collect information on several variables from recent graduates from the University of Florida accounting program. Specifically, you survey 198 alumni about their employment status, age at graduation, gender, and grade point average. What's the population, and what's the sample? The population is everyone at the University of Florida, and the sample is the 198 alumni who returned the survey. The population is the 198 alumni who returned the survey, and the sample is accounting alumni from large universities. The population is college students at large universities, and the sample is accounting students. The population is accounting program alumni at large universities, and the sample is the 198 alumni who returned the survey. Researchers are interested in increasing female participation in the technology…
Question 7 Consumer report uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers. Each survey respondent is asked to rate a specified retailer in terms of six factor: quality of products, selection, value, check out efficiency, service and store layout . Any overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all six factors. Sample data respresentative of independeent samples of Target and Walmart customers are show below. Target Walmart n - 25 n = 30 mean = 79 mean = 71 part a Formulate the null and alternative hypoteses to test whether there is a difference between the population mean customer satisfactions scores for the two retailers part b Assume…
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