A manufacturer of children’s vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 10% green, 30%30% yellow, 30% red, and 30% 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 α=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 590 1765 1717 1615Copy Data    Step 1 of 4 :   State the null and alternative hypotheses in terms of the expected proportion for each color of vitamin.   H0: pgreen=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯, pyellow=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯, pred=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ porange=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ Ha: There is a difference from the stated proportions.

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