A researcher was interested in whether the use of computer-assisted instruction

Question

A researcher was interested in whether the use of computer-assisted instruction could help children with reading difficulties to acquire reading skills at a faster than normal rate. He arranged for one of these children to have access to a set of computer-learning programs instead of his normal reading curriculum for one quarter. At the end of the quarter he tested him on a standardized reading ability test on which the mean for children with reading difficulties is 36 with a standard deviation of 6. His test subject scored 47.

1) State your research hypothesis. Is it directional or nondirectional? (2 points)


2) State your null hypothesis


3) What are your two populations?


4) What will be the cutoff z-score (critical value) necessary to reject the null hypothesis at p< .05?


5) What is the z-score of the sample?


6) Is the result significant at the .05 level? Justify your response in a statement that uses the cutoff z-score and the z-score of the sample.

Explanation / Answer

1. Hypothesis is that reading challenged children can read at a faster rate after taking CAI. This is a one tailed test. 2. Null hypothesis is they will read at the same 3. Two populations are reading challenged children who take CAI, and reading challenged children who get normal instruction. 4.Cutoff z score at .05 level of significance is 1.645. 5. z score of the one child is (47-36)/6= 11/6= 1.83. 6. Since 1.83>1.645 we can reject the null hypothesis and conclude that this child's reading was helped by CAI (the 47 wasn't just due to chance).

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