Question Tag: Survey Data

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  • 16 Marks

QT – May 2019 – L1 – Q6b – Probability

Calculate probabilities based on student survey data regarding their favorite sports.

A survey of The Institute of Chartered Accountants (Ghana) students asked the question: “What is your favourite sport?” The results are summarized below:

Level Football Boxing Hockey Total
1 68 41 46 155
2 84 56 70 210
3 59 74 47 180
Total 211 171 163 545

Required: i) What is the probability of selecting a student whose favourite sport is boxing? (2 marks)

ii) What is the probability of selecting a Level 1 student? (2 marks)

iii) If the student selected is a Level 2 student, what is the probability that the student prefers hockey? (3 marks)

iv) If the student selected is a Level 2 student, what is the probability that the student prefers football or hockey? (3 marks)

v) If the student selected prefers football, what is the probability that the student is a Level 1 student? (3 marks)

vi) If the student selected is a Level 3 student, what is the probability that the student prefers football, boxing, or hockey? (3 marks)

  • 10 Marks

MA – May 2018 – L2 – Q2a – Performance analysis

Analyze a survey comparing attitudes towards Japanese and German cars based on service, economy, reliability, and comfort.

Diligence Research Ltd, a research and advocacy company, has undertaken an attitude survey of recent buyers of particular brands of cars in Ghana. As part of this study, recent buyers of Japanese cars and recent buyers of German cars were asked to agree or disagree with a number of statements. They were asked to choose only one out of the four options and indicate whether they agree or disagree. One of the summary tables from the survey is shown below.

Agree Disagree
Japan cars are:
Easy to get serviced 65 35
Economical 81 19
Reliable 76 24
Comfortable 69 31
German cars are:
Easy to get serviced 32 68
Economical 61 39
Reliable 74 26
Comfortable 85 15

Required:
Analyse the above data highlighting the most significant features of these data. Illustrate your analysis with tables.

Agree Disagree Agree % Disagree %
Japan cars are:
Easy to get serviced 65 35 22% 32%
Economical 81 19 28% 17%
Reliable 76 24 26% 22%
Comfortable 69 31 24% 28%
Total 291 109 100% 100%
German cars are:
Easy to get serviced 32 68 13% 46%
Economical 61 39 24% 26%
Reliable 74 26 29% 18%
Comfortable 85 15 34% 10%
Total 252 148 100% 100%
  • For buyers of Japanese cars, they view them as economical and reliable. For German cars, buyers appreciate their comfort and reliability.
  • Japanese cars are seen as not easy to service and less comfortable compared to German cars.
  • Buyers who prioritize reliability and comfort might prefer German cars, while those valuing economy and reliability might lean towards Japanese cars.
  • Buyers focused on ease of servicing should choose Japanese cars.
  • German cars show significant disparity in comfort and servicing compared to Japanese cars, with comfort being a notable strength and serviceability a significant weakness.

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