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QUESTION 6 The lecturers of Mathematical Science Department from University M intended to study the association between the stress levels and the hours of online lessons in a week among accounting students. A questionnaire which aimed to assess the stress levels was administered to the respondents of the study. Their responses towards on the stress levels were categorised into low, medium, and high levels. The students were also asked to state the number of hours of their online lessons each week, according to the following category: less than 16 hours, 16 to 18 hours, 19 to 21 hours and more than 21 hours. The data were collected and the results are as follow. Hours of Online Lessons * Stress Levels Crosstabulation Stress Levels Low Medium High Total Count 17 71 18 Less than 16 hours 106 Expected Count 15.4 69.4 21.2 106.0 Count 18 92 37 147 Hours of 16 - 18 hours Expected Count 21.3 S 29.5 147.0 Online Lessons Count 22 97 28 147 19 - 21 hours Expected Count 21.3 96.2 29.5 147.0 Count 60 15 89 More than 21 hours Expected Count 12.9 58.2 17.8 89.0 Count 71 320 98 489 Total Expected Count 71.0 320.0 98.0 489.0 Chi-Square Tests Value df Pearson Chi-Square 4.032 U Likelihood Ratio 3.963 6 Linear-by-Linear Association .148 N of Valid Cases 489 a) Give a reason for conducting the Chi-square Test of Independence for the above study. (1 mark) b) Compute the value of S using expected value formula. (1 mark) c) Calculate the values of T and U. (2 marks)d) State the null and alternative hypothesis for the above study (1 mark) e) At the 10% significance level, is there any sufficient evidence to conclude that the stress level is associated with the hours of online lessons in a week among the accounting students? (4 marks)