Question: QUESTION 6 (8 Marks) A study is conducted by the UMP management to identify the satisfaction level of UMP students with the quality of food

QUESTION 6 (8 Marks) A study is conducted by the UMP

QUESTION 6 (8 Marks) A study is conducted by the UMP management to identify the satisfaction level of UMP students with the quality of food served at the university cafeterias. Data from a sample of 150 randomly selected students reveals that only 38% of them are satised with the food quality. (i) Calculate a one-sided 97% upper bound condence interval for the true proportion of students who are satised with the quality of food served at UMP cafeterias. (5 Marks, C02/P03) (ii) How large should the sample be if we wish to be 98% condent that the error in estimating the proportion of students who are satised is less than 0.1? (3 Marks, C02/P03)

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