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Statistics: Hypothesis Tests and Chi Square Tests

The TMC Daily News reported that the color distribution for plain N&N'S was: 40%brown, 20%yellow 20% orange, 10% green, and 10% tan. Each piece of candy in a random sample of 100 plain N&N'S was classified according to color, and the results are listed low. Use a 0.05 significance level to test the claim that the published color distribution is correct.

Color Brown Yellow Orange Green tan
Number 45 13 17 7 18

What is the Null Hypothesis?
What is the Alternate Hypothesis?
What is the degree of freedom for this hypothesis test?
What is the numerical chi square critical value?
What is the numerical value of the Chi Square test statistic?
What is the numerical Chi Square critical value?
Having completed the hypothesis test, what is the appropriate decision?

Solution Preview

What is the Null Hypothesis?
Ans: Ho: the published color distribution is correct

What is the Alternate Hypothesis?
Ans: Ha: at least one color distribution is incorrect

What is the degree of freedom for this ...

Solution Summary

The solution gived detailed steps on performing a chi square test for 5 groups. All formula and calcuations are shown and explained.

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