1. You grandfather has been collecting pennies for many years. He has tens of thousands of pennies in his basement. Your grandfather estimates that 20 % of the pennies have dates of 1900 and before, 25 % are dated between 1901 and 1940 (inclusive), 40 % are dated between 1941 and 1970 (inclusive), 15 % are dated after 1970. You test your grandfather's claim and randomly check 220 pennies. You find that 46 of the pennies have dates of 1900 and before, 53 are dated between 1901 and 1940 (inclusive), 79 are dated between 1941 and 1970 (inclusive), 42 are dated after 1970. Test your grandfather's claim based on 5 % significance level