A survey described the results of a poll of working adults in Canada. Each person in a random sample was classified according to gender and the number of vacation days he or she usually took each year. The resulting data are summarized in the given table. Days of Vacation Gender Male Female None 51 42 1-5 21 25 6-10 67 79 11-15 106 98 16-20 71 70 21-25 82 58 More than 25 118 79 (a) Is it reasonable to conclude that there is an association between gender and the number of vacation days taken? Test the appropriate hypotheses using a 0.05 significance level. Calculate the test statistic. (Round your answer to two decimal places.) ?2 =

Suppose course evaluation ratings for four college instructors are shown in the following table. Instructor Black Jennings Swanson Wilson 87 86 87 80 80 77 79 83 78 84 67 59 67 83 84 71 99 98 83 88 68 98 84 86   83 85     95 82       81   Use ? = 0.05 and test for a significant difference among the rating for these instructors. State the null and alternative hypotheses. H0: MedianB = MedianJ = MedianS = MedianW     Ha: MedianB < MedianJ > MedianS > MedianW H0: MedianB = MedianJ = MedianS = MedianW     Ha: MedianB ≠ MedianJ ≠ MedianS ≠ MedianW     H0: MedianB ≠ MedianJ ≠ MedianS ≠ MedianW     Ha: MedianB = MedianJ = MedianS = MedianW H0: All populations of teaching evaluations are identical.    Ha: Not all populations of teaching evaluations are identical. H0: Not all populations of teaching evaluations are identical.    Ha: All populations of teaching evaluations are identical.   Find the value of the test statistic. (Round your answer to two decimal…

How young is too young to have a cell phone? A group of eighth-grade boys and girls were surveyed and asked if they had a cell phone, with the following results. Cell Phone No Cell Phone Boys 54 46 Girls 57 43 (a) Draw a stacked bar chart to describe the data. I Cell Phone I No Cell Phone 1 Cell Phone I No Cell Phone 1 Cell Phone I No Cell Phone Frequency Frequency Frequency 100 100 100 80 80 80 60 60 60 40 40 40 20 20 20 Gender- Gender- Gender Boys Girls Вoys Girls Воys Girls Cell Phone No Cell Phone Frequency 100 80 60 40 20

The following are 30 UAS scores for the UT Statistics Student PPD Course. 75 89 47 80 65 59 60 75 84 61 63 78 92 85 79 56 64 90 Present the data in graphical form as follows. a. Make a Boxplot diagram b. Make a Histogram 55 79 55 78 64 68 90 50 70 59 56 84

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…

Sixty students were given a history exam. Their scores are shown below, sorted from smallest to largest. 21 32 36 37 37 37 38 39 40 40 41 42 44 46 48 50 53 65 72 72 72 72 73 74 74 75 75 76 76 76 76 77 77 77 77 78 79 79 80 80 80 81 81 82 82 82 82 83 83 85 85 86 86 88 88 89 91 91 93 94 1) Compute the 5-number summary for this data: 12,_,_,_,94

Which of the following data sets shows categorical data? Course Grade 72 78 85 90 98 Class Size 22 23 25 28 32 Flight Number 1002 1274 4012 5661 7812 Number of Coins 1 3 4 8 19

Is there a relation between incidents of child abuse and number of runaway children? A random sample of cities (over 10,000 population) gave the following information about the number of reported incidents of child abuse and the number of runaway children. (Reference: Federal Bureau of Investigation, U.S. Department of Justice.) City 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Abuse cases 113 33 41 60 52 99 31 56 15 67 106 59 45 74 84 Runaways 648 188 285 687 421 590 284 277 162 473 600 432 317 580 592 Use a 1% level of significance to test the claim that there is a monotone-increasing relationship between the ranks of incidents of abuse and number of runaway children. (a) Rank-order abuse using 1 as the largest data value. Also rank-order runaways using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test. City Abuse CasesRank x RunawaysRank y d = x - y d2 123456789101112131415 Σd2 =  (b) What is the level of…

A researcher would like to know whether there is a consistent, predictable relationship between ACT scores and GPA for high school students. A sample of 100 students is obtained from students who took the ACT in their Junior year. Based on the test results and gpa scores, students are classified as high or low for ACT and for GPA. The results are summarized in the following frequency distribution: ACT Score High GPA Low GPA High 39 15 Low 21 25 Based on the data, is there a significant relationship between ACT scores and GPA (a = .05). Compute the appropriate measure of association.

A sociologist is interested in studying the relationship between education and crime. She randomly selects 332 people and asks them their education level and whether or not they have ever been convicted of a felony. Is there evidence that education level and crime are dependent? Education Level No Felony Conviction Felony Conviction Total Less than 99 years       95 12 107 99 years - 1212 years      86 11 97 1212 years - 1616 years    59 7 66 16+16+ years    56 6 6262 Total    296 36 332 Copy Data Step 4 of 8 :   Find the value of the test statistic. Round your answer to three decimal places.