Construct a contingency table and calculate the percentage


Problem 1: Auditors for the Military Airlift Command (MAC) are checking the arrival times of the three charter airlines they used in the Pacific last year. Branflake Airways flew 135 flights and was late 78 times. Flying Armadillo Airlines flew 94 flights and was late 35 times. Air Idaho flew 115 flights, with 51 late arrivals. Set up a contingency table, and analyze it for MAC.

Problem 2: As the newly appointed head of evaluation for the state agriculture experiment station, you are asked to evaluate the relative effectiveness of corn hybrids AX147 and AQ49. Of 32 test plots, AX147 had high yields on 21. AQ49 had high yields on 17 of 28 test plots. Construct a contingency table and make a recommendation.

Problem 3: A Ph. D. student in public administration has studied the relationship between the quality of municipal bureaucracy and the economic development of cities. She hypothesizes that the higher the quality of the city bureaucracy (as measured by such factors as innovativeness, efficiency, and responsiveness), the greater the economic development. By this hypothesis, she assumes that bureaucratic quality leads to economic development. To test this hypothesis, she sent out questionnaires to a random sample of 120 cities with a population between 50,000 and 100,000. Based on these data, she assembles the accompanying cross- tabulation.

 

Bureaucratic Quality

Economic Development

Low

Medium

High

High

6

8

16

Medium

12

16

22

Low

16

14

10

Construct a contingency table and calculate the percentage difference. Also, conduct a chi-square test. Is there a relationship between bureaucratic quality and economic development?

Problem 4: Jeff Meier, Director of Research at the Wisconsin Council of Governments (WCG), is conducting a study on citizen perceptions of private sector and public sector service providers. Results from a survey commissioned by the WCG contain information on whether citizens have their trash collected by private refuse collection contractors or by traditional municipal trash collection crews: variable for "private collection" (coded 1), and for "municipal collection" (coded 2). The survey also asked citizens to state their service satisfaction level: variable for "satisfied with trash collection" (coded 1), for "dissatisfied" (coded 0). Calculate the percentage difference and conduct a chi-square test. Based on these data, can Dr. Meier conclude that public perceptions of private and municipal trash collectors are significantly different? (Note: The data set for this problem is posted on Blackboard.)

Problem 5: A researcher is conducting an experiment to determine support for the feminist movement. The experimental procedure consists of playing a tape recording of a meeting of a feminist organization for a group of subjects and then comparing their attitudes with those of a matched control group of subjects who are not exposed to the tape. At the conclusion of the experiment, the researcher is amazed to find that the tape recording apparently made no difference in attitude toward the feminist movement. Check this result in the following table:

Attitude Toward Feminist Movement

Listened to Tape Recording

No

Yes

Not favorable

40

39

Favorable

40

41

The researcher then decides to take into account the sex of the subjects and obtains the following tables:

Men

 

Women

 

Attitude Toward Feminist Movement

Listened to Tape Recording

 

 

Attitude Toward Feminist Movement

Listened to Tape Recording

No

Yes

 

No

Yes

Not favorable

21

24

 

Not favorable

19

15

Favorable

19

16

 

Favorable

21

25

Did the tape recording have an effect on attitude toward the feminist movement? Explain your answer.

Problem 6: A consumer advocate is trying to get legislation passed that will protect the environment of a large city. To increase the probability of success, the advocate researches the history of all legislation introduced in the city council in the last 5 years. She records whether the bill was favorable or not favorable to industry, whether the bill was introduced by a member of the city council or by the mayor, and whether it passed or was defeated. These variables are cross-tabulated in the accompanying tables. From these cross-tabulations, whom should the advocate try to persuade to introduce her legislation in the city council? Explain your answer.

 

Bill

Favorable to Industry

No

Yes

Defeated

132

43

Passed

138

87

Bill Introduced by Mayor

 

Bill Introduced by Member of City Council

 

Bill

Favorable to Industry

 

 

Bill

Favorable to Industry

No

Yes

 

No

Yes

Defeated

64

22

 

Defeated

68

21

Passed

67

44

 

Passed

71

43

Problem 7: The MPA director at a large university is interested in the factors that lead to successful placement of MPA students in employment. She defines successful placement of an MPA student as being offered the position that was his or her first choice for employment after completing the program. From student transcripts, she has classified students' grade point averages in the MPA program into two categories: 3.0 or below, and above 3.0 (on a 4.0 scale). From the transcripts, she also has determined whether the student took the courses in the quantitative concentration in the MPA program. These data appear in the accompanying tables. Based on the data, how should the MPA director advise students about how to receive successful placements?

 

Placement

Grade Point Average

3.0 or Below

Above 3.0

Not successful

78

97

Successful

104

184

Did Not Take Quantitative Concentration

 

Did Take Quantitative Concentration

 

Placement

Grade Point Average

 

 

Placement

Grade Point Average

3.0 or Below

Above 3.0

 

3.0 or Below

Above 3.0

Not successful

44

58

 

Not successful

34

39

Successful

44

79

 

Successful

60

105

Probme 8: The Department of Defense is concerned about the number of Harrier crashes. The Air Force argues that the crashes result because many of these planes are piloted by marines. The data for this claim are shown in the following table:

 

Result

Pilot

Marine

Air Force

Total

Crash

46

32

78

Did not crash

187

155

342

Total

233

187

420

When the number of flight hours of the pilot is controlled, the following pattern appears:

 

 

Result

Pilot with Less Than 200 Hours

 

 

 

Result

Pilot with More Than 200 Hours

Marine

Air Force

Total

 

Marine

Air Force

Total

Crash

36

26

62

 

Crash

10

6

16

Did not crash

62

51

113

 

Did not crash

125

104

229

Total

98

77

175

 

Total

135

110

245

Analyze these tables and present your findings.

Attachment:- Problem 4 Data.rar

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Basic Statistics: Construct a contingency table and calculate the percentage
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