As part of a survey of interest in local elections , a random sample of 845 people was taken in towns which did not have directly - elected mayors . The people were classified according to age ( < 30 or  30 ) and their stated level of interest ( great or little ) in local elections . The results were as follows . Level of interest Great Little Age < 30 49 216  30 145 435 ( i ) Carry out the usual  ² test for independence , at the 5 % significance level , stating carefully the null and alternative hypotheses and briefly discussing the conclusions . 1