A researcher selects a sample of 36 dog owners and measures their responsiveness to pictures depicting the humane and inhumane treatment of dogs.The researcher finds that responsiveness significantly differed,t = 3.243.Use $\eta$² to compute the proportion of variance for this result. A) $\eta$² = .21 B) $\eta$² = .23 C) $\eta$² = .25 D) there is not enough information to answer this question

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$\eta$² = .23 is the proportion of variance for this result because it is calculated by dividing the variance between groups by the total variance. In this case, the variance between groups is 3.243^2 = 10.51 and the total variance is 10.51 + 36 = 46.51. Therefore, $\eta$² = 10.51 / 46.51 = .23.

A Researcher Selects a Sample of 36 Dog Owners and Measures