##### 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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