A reading readiness test is administered to 8 matched pairs of first graders.One child of each pair had 3 years of day care experience whereas the other child had none.The results of the test are shown in the following table.(Higher scores indicate greater readiness. ) Assume á=.05,nondirectional test.
The eta² for the "reading readiness" data is _____.

Question

A reading readiness test is administered to 8 matched pairs of first graders.One child of each pair had 3 years of day care experience whereas the other child had none.The results of the test are shown in the following table.(Higher scores indicate greater readiness. ) Assume á=.05,nondirectional test. A reading readiness test is administered to 8 matched pairs of first graders.One child of each pair had 3 years of day care experience whereas the other child had none.The results of the test are shown in the following table.(Higher scores indicate greater readiness. ) Assume á=.05,nondirectional test. The eta<sup>2</sup> for the reading readiness data is _____. A) .31 B) .23 C) .54 D) .44

The eta² for the "reading readiness" data is _____.

Quizplus · Accepted Answer

The eta² (effect size) for the "reading readiness" data is .54, which indicates a moderate effect size. To determine if there is a significant difference between the groups, a paired-samples t-test should be conducted. The null hypothesis would be that there is no difference in reading readiness scores between the two groups, and the alternative hypothesis would be that there is a difference. Using a .05 alpha level for a two-tailed test, the critical t-value is 2.306 with 7 degrees of freedom. The calculated t-value for this dataset is -3.07, which is less than -2.306, so the null hypothesis is rejected. This indicates that there is a significant difference in reading readiness scores between the two groups, and the effect size is moderate. Therefore, the best choice is C.

A Reading Readiness Test Is Administered to 8 Matched Pairs