Athlete has Use the contingency table to the right to calculate the marginal fre

Question

Athlete has Use the contingency table to the right to calculate the marginal frequencies and find the expected frequency for each cell in the contingency table. Assume that the variables are independent. Not stretched 30 191 Stretched Result Injury No inju 203 (a) Calculate the marginal frequencies and sample size Athlete has Result Injury No injury Total Stretched 21 203 224 Not stretched 30 191 221 Total 51 394 445 (b) Find the expected frequency for each cell in the contingency table Athlete has Stretched Not stretched Result Injury No injury (Round to two decimal places as needed.)

Explanation / Answer

The expected frequency for each cell is computed as:

Ei = (Row Sum )*(Column Sum ) / Total

Therefore, here the expected frequencies are computed as:

The bold figures in the above table are the expected frequencies.

Stretched Not Stretched Injury 224*51/445 = 25.67 221*51/445 = 25.33 No Injury 224*394/445 = 198.33 221*394/445 = 195.67

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