6 A firm carrying out opinion polls is checking whether the age distribution of its respondents reflects that of the general population. It has surveyed 1,000 individuals aged 20 to 80. The proportion expected in each age group, and the actual number of respondents, is shown below. Using a X2 test, determine whether the age distribution of the respondents is significantly different from that of the general population at the 99.5% level of confidence. Proportion of Number of Age Band Population Respondents 20 - 29 0.25 213 30 - 39 0.25 241 40 - 49 0.20 194 50 - 59 0.15 134 60-69 0.10 138 70 - 79 0.05 80 Total 1.00 1,000