In: Statistics and Probability
A large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs. To investigate this claim, researchers collected data from a random sample of the company's customers. The results were 305 wood, 121 plastic, and 74 metal. Are the data from the sample consistent with the company'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. (10 points)