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 (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