A die is thrown 120 times and each time the number on the uppermost face is noted. The results are as follows: Number on Die Frequency 2 3 14 16 24 6 Total 22 22 24 20 120 (a) Set up the hypotheses for the above problem. [1] (b) Determine the degrees of freedom for the statistical test to be used. Hence, determine the rejection region. [2] (c) Find the expected number of tosses (expected frequency) for each face of the die [2] (d) Work out the value of the test statistic (e) Test, at the 5% level, if the die is fair. Your answer must include the decision and the conclusion. [3] [3]