Conduct the hypothesis test and prove the test statistic, critical value and P-value, and state the conclusion.
A package of 100 candies are distributed with the following color percentages: 13% red, 20% orange, 16% yellow, 8% brown, 25% blue and 18% green. Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.01 significance level.
Candy Counts
Red is 12 in package
Orange is 27 in package
Yellow is 8 in package
Brown is 7 in package
Blue is 27 in package
Green is 19 in package
The test statistic is ... (Round to two decimal places as needed)
The critical value is ... (Round to three decimal places as needed.)
The P-value is ... (Round to three decimal places as needed.)
State the conclusion.
Do not reject OR Reject H0. There is not OR is sufficient evidence to warrant rejection of the claim that the color distribution is as claimed.