Workers in several industries were surveyed to determine theproportion of workers who feel their industry is understaffed. Inthe government sector, 37% of the respondents said they wereunderstaffed, in the health care sector 33% said they wereunderstaffed and in the education sector 28% said they wereunderstaffed (USA Today, January 11, 2010). Suppose that 200workers were surveyed in each industry.
b) Assuming the same sample size will be used in each industry,how large would the sample need to be to ensure that the margin oferror is 5% or less for each of the three confidence intervals?Perform the calculation using an appropriate pilot study proportionas well as a worst case scenario.
