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Question 2 (Total of 16 marks) 1 A sample of 500 respondents was selected in a large metropolitan area to determine information concerning consumer...

Question 2 (Total of 16 marks)

A sample of 500 respondents was selected in a large metropolitan area to determine information concerning consumer behaviour. The following contingency table was obtained:question 2.png

question 2.png

Question 2 (Total of 16 marks) 1 A sample of 500 respondents was selected in a large metropolitan area to determine
information concerning consumer behaviour. The following contingency table was obtained: 1 Enjoys shopping Gender 'J for clothing 1 Male 1 Female 1 Total 1 “
Yes1 1361 2241 3601
No 1 104 1 36 1 140 1
Total 1 240 1 260 1 500 1 (a) (4 marks) Produce a stacked column chart of these variables to highlight the
difference in attitude between men and women. 1 A respondent is chosen at random. 1
(b) (6 marks) What is the probability that the respondent: 1
(a) is female; 1
‘ (ii) does enjoy shopping for clothing;
(iii) is female and does not enjoy shopping for clothing; 1
(iv) is male or does not enjoy shopping for clothing. 1 (c) (3 marks) Suppose the respondent chosen enjoys shopping for clothing. What, then, is
the probability that the individual is a male? 1 (d) (3 marks) Are enjoying shopping for clothing and gender of the individual
statistically independent? Explain your answer carefully. 1

Top Answer

Answers: a) see below (a-ii) p = 62.22% (a-iii) p = 25.71% (Iv) p =... View the full answer

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L901??? ..E."° HIP? 135- 104 Difference of attitude between males and
124' '35;- ' females at shopping .;. .;. 35D
3%
25!}
200
15!} 1:1 ‘1 _ 1““ 5|] enjw no enjoy I Male l Female

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