The Australian Bureau of Statistics has reported that in 2015,26.78% of the 16.8 million employees in Australia worked part-timein their main job. Suppose that you select a random sample of 250employees from around Australia.
(a) What is the probability that more than 26.2% of thosesampled work part-time in their main job?
(b) What is the probability that the proportion of part-timeemployees in the sample is between 27% and 29%?
(c) The probability is 77% that the sample proportion ofpart-time workers will be above what value?
