A group of educational researchers would like to test the effectiveness of educa

Question

A group of educational researchers would like to test the effectiveness of educational toys geared to help children read. Researchers designed an experiment in which a group of preschool aged children spent 2 hours a day for 6 months in a classroom that had "educational" toys including alphabet blocks, electronic reading games, etc. Where as a control group of children spent 2 hours a day for 6 months in a classroom with "non-educational" toys. To minimize bias the researchers used 5 sets of identical twins. Each set of twins had a twin randomly assigned to either the experimental classroom or control classroom. The researchers than recorded the ages in months when the child began to read at the primary level. The results are as follows: The following are the summary statistics and test results from the experimental data and hypothesis test. Average Difference: -2.6 Standard Deviation: 23 Degrees of Freedom: 4 Test Stat: -2.53 P-value: 0.0649 Choose all statements that correctly conclude the result from the test. You may select more than one. Use a significance level of 0.10. We reject the null hypothesis. We fail to reject the null hypothesis. On average, children that were in the experimental group began reading 2.6 months earlier than those in the control group. On average, children that were in the experimental group began reading 2.53 months earlier than those in the control group. There is slightly suggestive evidence the experimental classroom had an effect on reading age among the children. There is convincing evidence the experimental classroom had an effect on reading age among the children.

Explanation / Answer

Conclusion : We reject the null hypothesis

( as P-value = 0.0649 < 0.10 which is the level of significance for the test )

* There is convincing evidence the experimental classroom had an effect on reading age among children.

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