A manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 30 % green, 30 % yellow, 20 % 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 = 0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Children's Vitamins Green Yellow Red Orange Number 1288 1380 855 978 Copy Data Step 3 of 4 : Compute the value of the test statistic, Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places