3. [4 marks] A television set manufacturer wishes to determine the magnitude of the defective prob- lem in order to estimate its warranty liability. a. Without preliminary knowledge, what is the sample size needed in order to estimate p, the proportion of defective televisions produced, to within 0.1 with 94% condence? b. Suppose a prior study produces an estimate 13 = 0.1, which corresponds to 10% defective televisions produced in the sample. Find the sample size n of television sets that will be needed in order to estimate p, the true proportion of defective televisions produced, to within 0.05 with 83% confidence