A hypothesis test is completed and we have sufficient evidence that a certain population mean is more than 200. Suppose that in reality, the population mean is 200. Determine if a correct decision has been made. If an error has been made, indicate which type of error it is.
The decision was incorrect; a Type II error has been committed. 

The decision is incorrect; a Type I error has been committed. 

Correct decision has been made. 

The decision was incorrect; both Type I and Type II errors have been committed 
Solution:
Correct option is
The decision is incorrect; a Type I error has been committed.
Explanation:
Claim : population mean is more than 200.
So ,
Null hypothesis : population mean is = 200 or 200
Alternative hypothesis : population mean is more than 200.
Decision taken is "sufficient evidence that a certain population mean is more than 200. "
i.e. the null hypothesis rejected.
But in fact the population mean is 200.
Type I error : Reject the null hypothesis when the null hypothesis is true.
So , answer is
The decision is incorrect; a Type I error has been committed.
Get Answers For Free
Most questions answered within 1 hours.