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# Chi square test for association

) A medical researchers claims that 20% of children suffer from a certain disorder. Identify the Type I error for the test.
(a) Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 20% when the percentage is actually 20%
(b) Reject the claim that the percentage of children who suffer from the disorder is different from 20% when the percentage really is different from 20%
(c) Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 20% when that percentage is actually different from 20%.
(d) Reject the claim that the percentage of children who suffer from the disorder is equal to 20% when that percentage is actually 20%.

9. Use the sample data below to conduct a chi-square test to determine if getting into an accident and the color of car are independent. Use a significance level of 0.01.

CAR COLOR
Red Blue White Black
Accident 38 33 36 34
No Accident 239 420 512 285

a) (2) State the hypotheses being tested.

Ho: Ha:

b) (2) What are the test requirements?

c) (2) Give the computed value of the test statistic. ______________________

d) (1) Give the critical value of the test statistic.. _______________________

e) (2) What is the p-value of the test? ______________________

f) (3) State and explain the decision in terms of the two variables.

#### Solution Preview

Statistics
A medical researchers claims that 20% of children suffer from a certain disorder. Identify the Type I error for the test.
(a) Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 20% when the percentage is actually 20%
(b) Reject the claim that the percentage of children who suffer from the disorder is different from 20% when the percentage really is different from 20%
(c) Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 20% when that percentage is actually different from 20%.
(d) Reject the claim that the percentage of children who suffer from the disorder is equal to 20% when that percentage is actually 20%.

9. Use the sample data below to conduct a chi-square test to determine if getting into ...

#### Solution Summary

The solution provides step by step method for the calculation of chi square test for association. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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