Suppose a candy company representative claims that colored candies are mixed such that each large production batch has p

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Suppose A Candy Company Representative Claims That Colored Candies Are Mixed Such That Each Large Production Batch Has P 1 (216.92 KiB) Viewed 27 times

Suppose a candy company representative claims that colored candies are mixed such that each large production batch has precisely the following proportions: 30% brown, 10% yellow, 20 % red, 10% orange, 10 % green, and 20 % blue. The colors present in a sample of 452 candies was recorded. Is the representative's claim about the expected proportions of each color refuted by the data? Color brown yellow red orange green blue Number of Candies 72 67 67 67 112 67 Step 1 of 10: State the null and alternative hypothesis. Ho: The proportions of the colored candies are precisely followed. He: The proportions of the colored candies are not precisely followed. Ho: The proportions of the colored candies are not precisely followed. O He: The proportions of the colored candies are precisely followed. Step 2 of 10: What does the null hypothesis indicate about the proportions of candies of each color? Step 3 of 10: State the null and alternative hypothesis in terms of the expected proportions for each category. Pbrown = P yellow Pred HO: Porange P green Polue H.: There is some difference amongst the proportions. Step 4 of 10: Find the expected value for the number of chocolate candies colored brown. Round your answer to two decimal places. Step 5 of 10: Find the expected value for the number of chocolate candies colored green. Round your answer to two decimal places. Step 6 of 10: Find the value of the test statistic. Round your answer to three decimal places. Step 7 of 10: Find the degrees of freedom associated with the test statistic for this problem. Step 8 of 10: Find the critical value of the test at the 0.01 level of significance. Round your answer to three decimal places. Step 9 of 10: Make the decision to reject or fail to reject the null hypothesis at the 0.01 level of significance. Step 10 of 10: State the conclusion of the hypothesis test at the 0.01 level of significance. There is not enough evidence to refute the company's claim about the proportions of colored candies. There is enough evidence to refute the company's claim about the proportions of colored candies.