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A researcher measures the correlation between the frequency of self-esteem (high,low)and health status (lean/healthy,overweight/obese).Based on the frequencies for each nominal category given below,what is the value of the phi correlation coefficient?img Health status Lean/Healthy Overweight/ ObeseSelf Esteem Low 18 32 High 32 18

A) 0.08
B) 0.28
C) 0.52
D) 0.56

1 Answer

4 votes

Answer: B) 0.28

Explanation:

Given that:

Lean/Healthy Overweight/ ObeseSelf Esteem Low 18 32 High 32 18

Overweight/Obese Lean/Healthy Total

Low 32 18 50

High 18 32 50

Total 50 50 100

the phi correlation coefficient is defined by Ф = √x²/n

where n = 100 ( total number of response )

x² = [(32×32 - 18×18)² × 100] / [50 × 50 × 50 × 50]

Ф = √ [(700)² x 100) / (50)⁴ × 100

Ф = 700 / 50²

Ф = 0.28

Therefore option B) is the correct answer

User Yussan
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