Suppose a candy company representative claims that coloredcandies are mixed such that each large production batch hasprecisely the following proportions: 10% brown, 10% yellow, 30%red, 20% orange, 10% green, and 20% blue. The colors present in asample of 3613 candies were recorded. Is the representative's claimabout the expected proportions of each color refuted by thedata?
Color | brown | yellow | red | orange | green | blue |
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Number of Candies | 34 | 52 | 70 | 83 | 52 | 70 |
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Step 1 of 10 : State the null andalternative hypothesis.
Step 2 of 10 : What does the nullhypothesis indicate about the proportions?
Step 3 of 10 : State the null andalternative hypothesis in terms of the expected proportions.
Step 4 and 5 of 10 : Find theexpected value for the number for each color. Round your answer totwo decimal places.
Step 6 of 10 : Find the value of thetest statistic. Round your answer to three decimal places
Step 7 of 10 : Find the degrees offreedom associated with the test statistic for this problem.
Step 8 of 10 : Find the criticalvalue of the test at the 0.20,0.15,0.10,0.05,0.02,0.01 level ofsignificance. Round your answer to three decimal places.
Step 9 of 10 : Make the decision toreject or fail to reject the null hypothesis at each level ofsignificance.
Step 10 of 10 : State the conclusionof the hypothesis test at each level of significance.