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. Thindividuals in the following table have an eye irritation, noseirritation, throat irritation. They have only one of three.
                                                                          Ages
Type of Irritation
18-29 30-44 45-64 65+ Eye 440 567 349 59 Nose 924 1311 794 102 Throa 253 311 157 19 a. Caculate the value of the test statistic. Round 2 placesafter decimal
b. Find p value
c. At 0.05 level of significance, there _______enough evidence tosuggest 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 Throa 253 311 157 19

Explanation / Answer

H0: =Type of irritation is indepencent ofage H 1 : = Type of irratation is notindependent of age H 1 : = Type of irratation is notindependent 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 of age.                    

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