Number of interviewees PROBLEM 1. (20 MARKS IN TOTAL). A survey was conducted to determine citizens' opinion about the construction of nuclear power plants. 1,041 citizens were asked the following question: "Should the Government be interested in nuclear power plant construction projects?" The distribution of the answers of the respondents by employment were as follows: Employment Professionals Number of interviewees answering "Yes" 47 25 Management and 73 41 administration Small enterprise managers 53 30 Semi-professionals 100 69 Clerical workers 69 48 Skilled workers 287 203 Semi-skilled workers 103 72 Unskilled workers 131 95 Others 178 102 Grand total 1,041 685 (a) (4 marks) Estimate the proportion of citizens who are in favor of nuclear power plant construction projects. (b) (10 marks) Determine a 95% estimate of the proportion of citizens who are in favor of nuclear power plant construction projects. 1 (c) (6 marks) If a 98% confidence level and a margin of error of 0.02 were desired, what should have been the minimum number of interviewed citizens?