The following table is from the publication of Vital and HealthStatistics from t

Question

The following table is from the publication of Vital and HealthStatistics from the Centers for Disease control and Prevention. Theindividuals in the following table have an eye irritation, noseirritation, or throat irritation. They only have one of thethree
                                             Ages
Type of irritation
18-29 30-44
45-64
65+
Eye 440 567 349 59 Nose 924 1311 794 102 Throat 253
311
157
19

Is there sufficient evidence to reject the hypothesis that the typeof ear, nose, or throat irritation is independent of the age groupat a level of significance equal to .05 (using p valueapproach)

a. Calculate the value of the test statistic. Round to 2 placesafter the decimal point.
b. Find the p-value.
c. At the 0.05 level of significance, there _________ enoughevidence to suggest
that the type of irritation is not independent of age. Type of irritation
18-29 30-44
45-64
65+
Eye 440 567 349 59 Nose 924 1311 794 102 Throat 253
311
157
19

Explanation / Answer

H0: =Type of irritation is indepencentof age H 1 : = Type of irratation isnot independent of age H 1 : = Type of irratation isnot independent of age a) The chi-square test statistic is =13.62 b) p-value =0.034 degrees of freedom=6. c)at 0.05 level of significance .here p-value is lessthan level of significance (p<0.05 ).hence we reject the Null hypothesis.Thereis a enough evidence to suggest the type of irritation is not independent ofage.

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