I wish to estimate the proportion of defectives in a large production lot with plus or minus D=0.02 of the true proportion, with a 99% level of confidence. From past experience it is believed that the true proportion of defectives is =0.02. How large a sample must be used? (Hint: Use a normal approximation for the sample proportion P^ - this question is worth 2 marks). Please both in r language method and normal method, thx!