2. A group of students were classified in terms of personality (introvert or extrovert) and in terms of colour preference (red, yellow, green or blue) with the purpose of seeing whether there is an association (relationship) between personality and colour preference. Data was collected from 400 students and presented in the 2 (rows) x 4 (columns) contingency table below. Set the alpha level at 0.05. (Observed counts) Colours Red Yellow Green Blue Totals Introvert personality 20 6 30 44 100 Extrovert personality 180 34 50 36 300 Totals 200 40 80 80 400 a. If null hypothesis is given, Ho: Colour preference is not associated with personality, then state the alternate hypothesis. b. Calculate the expected numbers for each of the observed values. C. Determine whether to reject null hypothesis by calculating the chisquare statistic. d. What is the conclusion that you can made from the results