10 Conduct the hypothesis test and provide the test statisti

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Conduct the hypothesis test and provide the test statistic, critical value and P-value, and state the conclusion.

A package of 100 candies are distributed with the following color percentages:?

15%?

red,?

21%?

orange,?

12%?

yellow,?

8%?

brown,?

26%?

blue, and?

18%?

green.

Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.10 significance level.

Color Number_in_Package
Red 11
Orange 25
Yellow 10
Brown 9
Blue 27
Green 18

What is the Test Statistic-_______

What is the Critical Value and P value________

What is the Null Hypothesis:-________

What is the Research Hypothesis_________

Rejet or fail to reject null hypothesis________

Solution

Conduct the hypothesis test and provide the test statistic, critical value and P-value, and state the conclusion.

A package of 100 candies are distributed with the following color percentages:?

15%?red,?

21% orange,?

12%?yellow,?

8%?brown,?

26%?blue, and?

18%?green.

Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.10 significance level.

Color Number_in_Package
Red 11
Orange 25
Yellow 10
Brown 9
Blue 27
Green 18

Goodness of Fit Test

observed

expected

O - E

(O - E)