Consider the following research topic: The goal is to determine if there is a st
ID: 3170920 • Letter: C
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.