The following two-way table resulted from a random sample of employees from a large company. Employees were classified as managers or workers and asked if they were satisfied with their job. Non-Manager Satisfied Not Satisfied Total Manager 45 15 Total 115 70 25 40 60 95 155 If the null hypothesis of no association between employment status and job satisfaction is true, which of the following expressions gives the expected number of employees in the sample who are managers and who are satisfied with their job? (115)(95) A) 155 (115)(45) B) 60 (60)(115) 155 (115)(60) D) C) 45 E) 60X45) 115

A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours of Sleep Age Group 39 or younger 40 or older Fewer than 6 40 38 6 to 6.9 60 57 7 to 7.9 77 75 8 or more 63 90   (a) Conduct a test of independence to determine whether hours of sleep are independent of age.   State the null and alternative hypotheses. H0: Hours of sleep per night is not independent of age.Ha: Hours of sleep per night is independent of age.   H0: Hours of sleep per night is independent of age.Ha: Hours of sleep per night is not independent of age.       H0: The proportion of people who get 8 or more hours of sleep per…

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 =

An article compared five different methods for teaching descriptive statistics. The five methods were traditional lecture and discussion, programmed textbook instruction, programmed text with lectures computer instruction, and computer instruction with lectures. 45 students were randomly assigned, 9 to each method. After completing the course, students took a 1-hour exam.   Which of the following is the correct degrees of freedom for an F-test for evaluating if the average test scores are different for the different teaching methods? dfnum = 5, dfden = 45   dfnum = 4, dfden = 44   dfnum = 4, dfden = 40   dfnum = 45, dfden = 4   dfnum = 40, dfden = 4

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…

Answer j and k

Mr Alsup asked the studentS in his third-and sixth-period English classes whether they had chosen a topic for thier writing assignment. he recorded the data in a two-way table, as shown below English class   Yes  No  Total Third period 24 6 30 Sixth period  22 3 25 Total 46 9 55   if jannette in in mr alsup sixth-period english class what is the probablity that she has not chosen a topic for her writing assignment? a- 3% b- 5% c- 12% d-14%

Personality preferences for a random sample of 519 people in the listed professions are shown in the following table. T refers to THINKING and F refers to FEELING. Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance.   Occupation T F Row Total Clergy 57 91 148 M.D. 77 82 159 Lawyer 118 94 212 Column Total 252 267 519

Is there an association between hair color and body type? The table below shows the results of a researcher's observations of randomly selected people. Frequencies of Hair Colors for Various Body Types Blonde Brunette Red Head 71 80 96 108 55 115 46 91 Short and Slender Short and Pudgy Tall and Slender Tall and Heavy What can be concluded at the o= 0.01 significance level? 53 74 69 63