Question

In: Statistics and Probability

In an influenza outbreak, you learn that in a factory 13 of 52 men workers were...

  1. In an influenza outbreak, you learn that in a factory 13 of 52 men workers were ill. 25 of 52 women workers were ill. Using a hand-calculated chi-square test, determine whether the difference between men and women in illness attack rate is significant. Show your work and answer here.

Solutions

Expert Solution

let us consider the null and alternative hypothesis is

Ho:the difference between men and women in illness attack rate is not significant

Ha: the difference between men and women in illness attack rate is significant

Chi-Square Test
Observed Frequencies(O)
Attack rate Calculations
Gender ill not ill Total fo-fe
Men 13 39 52 -6 6
Women 25 27 52 6 -6
Total 38 66 104
Expected Frequencies€
Attack rate
Gender ill not ill Total (fo-fe)2/fe
Men = = 19 = =33 52 1.894737 1.090909
Women =19 =33 52 1.894737 1.090909
Total 38 66 104
Data
Level of Significance 0.05
Number of Rows 2
Number of Columns 2
Degrees of Freedom 1
Results
Critical Value 3.841459
Chi-Square Test Statistic 5.971292
p-Value 0.014541
Reject the null hypothesis

Since p value is 0.0145 which is less than 0.05 so we reject Ho and conclude that the difference between men and women in illness attack rate is significant


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