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An education researcher conducts a study of whether children with a large vocabulary scored higher on...

An education researcher conducts a study of whether children with a large vocabulary scored higher on an intelligence test than the average. Explain what a Type I and Type II error would be in this study. (Be sure to state your answer in terms of the variables of this particular study).

Math   Statistics-And-Probability   
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Answer #1

Null hypothesis: Children with a large vocabulary do not score higher on an intelligence test.

Alternative hypothesis: children with a large vocabulary scored higher on an intelligence test.

Type I error means we reject null hypothesis when it is true. Hence in this situation we conclude on the basis of sample that children with a large vocabulary scored higher on an intelligence test than the average but in reality it is not true.

Type II error means we accept null hypothesis when it is false. Hence in this situation, We fail to conclude on the basis of sample that children with a large vocabulary scored higher on an intelligence test than the average but in reality it is true.

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