Suppose a candy company representative claims that colored candies are mixed such that each large production batch has precisely the following proportions: 10% brown, 10% yellow, 20% red, 10% orange, 30% green, and 20% blue. The colors present in a sample of 459 candies was recorded. Is the representative's claim about the expected proportions of each color refuted by the data? Color Number of Candiesbrown 43yellow 106red 89orange 43green 112blue 66 A) State the null and alternative hypothesis. 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 red. 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 0.1 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 0.1 level of significance. J)State the conclusion of the hypothesis test at the 0.1 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: 10% brown, 10% yellow, 20% red, 10% orange, 30% green, and 20% blue. The colors present in a sample of 459 candies was recorded. Is the representative's claim about the expected proportions of each color refuted by the data?
Color Number of Candies
brown 43
yellow 106
red 89
orange 43
green 112
blue 66
A) State the null and alternative hypothesis.
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 red. 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 0.1 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 0.1 level of significance.
J)State the conclusion of the hypothesis test at the 0.1 level of significance.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
