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A manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 20 % green, 30 % yellow, 30 % red, and 20 % orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a = 0.01, determine whether there is sufcient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Children's Vitamins Green Yellow Red Orange Number 710 915 998 666 Copy Data Step 2 of 4: Calculate the expected value for the number of vitamins that are yellow. Round your answer to three decimal places, if necessary