Question

Types of errors in statistical hypothesis testing:

a) Type 1 error (alpha error)
b) Type 2 error (beta error)
c) Power

Answer 1

In statistical hypothesis testing, there are three types of errors: Type 1 Error, Type 2 Error, and Power. A Type 1 Error occurs when the null hypothesis is rejected even though it is true. A Type 2 Error occurs when the null hypothesis is not rejected even though it is false. Power represents the likelihood of correctly accepting a true alternative hypothesis.

Step-by-step explanation:

In statistical hypothesis testing, there are three types of errors:

1. Type 1 Error (alpha error): This occurs when the null hypothesis is rejected even though it is true. It is represented by the Greek letter α and is the probability of rejecting the null hypothesis when it is true.
2. Type 2 Error (beta error): This occurs when the null hypothesis is not rejected even though it is false. It is represented by the Greek letter ß and is the probability of not rejecting the null hypothesis when it is false.
3. Power: The power of a test is 1 - ß and represents the likelihood of correctly accepting a true alternative hypothesis. A high power is desirable.

For example, if a drug is tested and the null hypothesis is that it has no effect, a Type 1 Error would be concluding that the drug has an effect when it doesn't, while a Type 2 Error would be failing to conclude that the drug has an effect when it actually does.