a large toiletry distributor claims that 35% of all individuals who purchase toilet paper from the stores that carry its product choose original toilet paper, 28% choose sensitive toilet paper, 20% choose ultra-strong toilet paper, and 17% choose ultra-soft toilet paper. to investigate this claim, researchers collected data from a random sample of customers in a large city. the results were 170 packages of original, 105 sensitive, 80 ultra-strong, and 45 ultra-soft toilet paper purchases. are the data from the sample consistent with the distributor's claim? conduct an appropriate statistical test at the 5% significance level to support your conclusion. make sure to include parameters, check conditions, and show calculations before formulating a conclusion.