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, 10% red, 10% orange, 20% green, and 20% blue. The colors present in a sample of 472 candies was recorded. Is the representative's claim about the expected proportions of each color refuted by the data? Color Number of Candies:brown: 109yellow: 66red: 61orange: 104green: 61blue: 71 a)State the null and alternative hypotheses. b)What does the null hypothesis indicate about the proportions of candies of each color? c)State the null and alternative hypothesis in terms of the expected proportions for each category. d)Find the expected value for the number of chocolate candies colored brown. Round your answer to two decimal places. e)Find the expected value for the number of chocolate candies colored green. Round your answer to two decimal places. f)Find the value of the test statistic. Round your answer to three decimal places. g)Find the degrees of freedom associated with the test statistic for this problem. h)Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places. i)Make the decision to reject or fail to reject the null hypothesis at the 0.025 level of significance. j) State the conclusion of the hypothesis test at the 0.025 level of significance.
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, 10% red, 10% orange, 20% green, and 20% blue. The colors present in a sample of 472 candies was recorded. Is the representative's claim about the expected proportions of each color refuted by the data?
Color Number of Candies:
brown: 109
yellow: 66
red: 61
orange: 104
green: 61
blue: 71
a)State the null and alternative hypotheses.
b)What does the null hypothesis indicate about the proportions of candies of each color?
c)State the null and alternative hypothesis in terms of the expected proportions for each category.
d)Find the
e)Find the expected value for the number of chocolate candies colored green. Round your answer to two decimal places.
f)Find the value of the test statistic. Round your answer to three decimal places.
g)Find the degrees of freedom associated with the test statistic for this problem.
h)Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places.
i)Make the decision to reject or fail to reject the null hypothesis at the 0.025 level of significance.
j) State the conclusion of the hypothesis test at the 0.025 level of significance.
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