Consider the following data, taken from a study investigating an outbreak of gas

Question

Consider the following data, taken from a study investigating an outbreak of gastroenteritis following a lunch served in a high school certain. Determine if there is an association between eating the sandwich and having an attract of gastroenteritis (becoming ill). What is the actual correlation (numerical) between eating the sandwich and becoming ill? Make a one- sentence conclusion explaining the meaning of the results of (a) and (b). Ate Sandwich Yes No Total Became Ill 109 4 113 No Illness 116 34 150 Total 225 38 263

Explanation / Answer

a) Perform Chi-sqaure test of association. Compute X^2 test statistic.

The p value at df=1[df=(r-1)(c-1)] is 0.000.

The p value is less than alpha=0.05, Therefore, reject H0, to cocnlude that there is significant association among the variables.

Observed Expected (Observed-Expected)^2/Expected 109 96.67[(113*225)/263] 1.572(109-96.67)^2/96.67 4 16.33 9.307 116 128.33 1.184 34 21.67 7.011 19.074

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