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A box of plain chocolate candies comes in four different colours: dark brown, yellow, red, and blue. According to the manufacturer, the couloir ratio in each large production batch is 40 percent brown, 30% yellow, 15% blue. To test this claim, 500 candies from 10 randomly selected boxes were sorted by colour. The results were as follows; brown-180, yellow- 170, red-80, blue-70. Does the observed data contradict the company's claim? Formulate and test the appropriate hypotheses at the 2.5% level of significance. Use the critical value approach.

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