The Stanford-Binet is a widely used IQ test with an average score of 100 points

Question

The Stanford-Binet is a widely used IQ test with an average score of 100 points and a standard deviation of 15 points. Children in Flint have been exposed to lead contaminated water, and it is known that previous lead exposure is associated with lower IQ scores among children. Using a sample of 1000 Stanford-Binet IQ scores from the City of Flint School District, we obtain a mean IQ score of 98 points. We conduct a hypothesis test and reject the null hypothesis based on the z-test value observed (z=16.67).

Write a sentence describing your results. Make sure to format your results sentence appropriately.

Explanation / Answer

In this case, we were testing the claim as alternative hypothesis that the children in Flint have lower IQ scores and we rejected the null hypothesis. Hence,

There is sufficient evidence to support the claim that Chldren in Flint have the lower IQ score as compared to the population average of 100 points.

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