A researcher selects a sample of 24 college students and has them rate their liking for two advertisements aimed at improving the image of the college.The researcher finds that liking ratings significantly differed,t = 2.900.Use omega-squared to compute the proportion of variance for this result.
A) = 0.29
B) = 0.24
C) = 0.21
D)There is not enough information to answer this question.

Question

A researcher selects a sample of 24 college students and has them rate their liking for two advertisements aimed at improving the image of the college.The researcher finds that liking ratings significantly differed,t = 2.900.Use omega-squared to compute the proportion of variance for this result.
A) = 0.29 
B) = 0.24 
C) = 0.21 
D)There is not enough information to answer this question.

Quizplus · Accepted Answer

To compute omega-squared, we need to know the degrees of freedom for the t-test. Since the sample size is 24, the degrees of freedom is 24-1=23. Using a calculator or statistical software, we can compute omega-squared as:

omega-squared = t^2 / (t^2 + df) = 2.900^2 / (2.900^2 + 23) = 0.236

Therefore, the proportion of variance accounted for by the difference in liking ratings is 0.236 or 23.6%. The closest answer choice is B, which is 0.24 or 24%.

A Researcher Selects a Sample of 24 College Students and Has