Consider the following research topic: The goal is to determine if there is a st

Question

Consider the following research topic: The goal is to determine if there is a statistically significant increase in the average weight gain of anorexic patients for a new treatment (N) when compared to a standard treatment (S).

Interpret a Type I error in terms of the problem. Select A, B, C, or D.

A. We concluded there was a significant increase in average weight gain from the new treatment compared to the old, when in reality there was not.

B. We concluded there was not a significant increase in average weight gain from the new treatment compared to the old, when in reality there was.

C. We concluded there was a not significant increase in average weight gain from the new treatment compared to the old, when in reality there was not.

D. We concluded there was a significant increase in average weight gain from the new treatment compared to the old, when in reality there was.

Explanation / Answer

The null and alternative hypothesis can be stated as given below H0 : N > S ( since goal is to determine if there is statistically significant increase in the average HA : N S weight gain for New treatment compared to standard treatment) By definition, Type I error is the error that occurs when we reject the null hypothesis when it is true Hence the statement B is the right interpretation of Type I error B.    We concluded there was not a significant increase in average weight gain from the new treatment compared to the old,      when in reality there was.

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