QUESTION BI [25 Marks) (a) The purchasing department in ABC Lubricant and Gas company surveyed their 600 suppliers worldwide and found that 72 of them only supplied to ABC Lubricant and Gas. At 5% level of signicance, the purchasing department claim that less than 13% of the suppliers only supplied to ABC Lubricants and Gas. (0 (ii) (iii) (iv) (V) (vi) Determine the population proportion (a) and sample proportion (p) in this survey {2 marks) Set up the null and alternative hypotheses needed to attempt the company claim that less than 13% suppliers supply only to ABC Lubricant and Gas. {2 marks) From the alternative hypotheses given in part (ii), state the type of the test required. (1 mark) State the decision rule and the rejection area for the test statistics in part (ii). {2 marks) Calculate the test statistic, Z, to test the claim in this study. {5 marks) Hence, draw a conclusion from the result that calculated in part (v), whether this result is consistent with the claim made by the company that less than 12% suppliers supply only to ABC Lubricant and Gas. {3 marks) (b) A global AAB research company found that the average physical cash spent by all their staff is less than RM 3163. The research was conducted among their 16 trainees and found that their average spent using physical cash is RM 2183 with a standard deviation of RM] 500. Assuming tdistribution is followed, answer the following questions. Given the following hypotheses: (iii) 01') Hour 3: 3163 H141