Question

The item below is based on the following scenario.

In a third world country, 100 randomly selected people were surveyed about their socioeconomic class and religious affiliation. The results and an excerpt from this fictitious study follow:
Excerpt:
"Based on a chi-square test for independence, the working class differed from the middle class in the distribution of religious identification, χ2 (4, N = 100) = 11.73, p < .05."
The phi coefficient for this study is:________.

Answer 1

φ = 0.34

Explanation:

Given:

total number of observations = N = 100

chi-square test for independence χ2 = (4, N = 100) = 11.73

To find:

phi coefficient φ

Solution:

phi coefficient φ is computed as:

φ = √( χ2 / n )

= √ (11.73 / 100 )

= √0.1173

φ = 0.3425