According to a recent survey, 40% of luxury car manufacturers, 12% of sports car makers, and 48% of economy auto manufacturers were planning to spend more on marketing in a certain year than in previous years. Suppose a business analyst conducts her own survey. She randomly selects 280 companies and determines that 96 luxury car manufacturers, 27 sports car manufacturers, and 157 economy car manufacturing companies do in fact plan to spend more on marketing next year. Use the chi-square goodness-of-fit test to determine if there is a significant difference between the distribution of car manufacturers in the survey and the distribution released by the analyst. Let α = 0.01.