The mayor of a large city claims that 30 % of the families in the city earn more than $ 100,000 per year; 52 % earn between $ 30,000 and $ 100,000 (inclusive); 18 % earn less than $ 30,000 per year.

In order to test the mayors claim, 285 families from the city are surveyed and it is found that:

90 of the families earn more than $ 100,000 per year;

135 of the families earn between $ 30,000 and $ 100,000 per year (inclusive);

60 of the families earn less $ 30,000.

Test the mayors claim based on 5 % significance level.