Question

Part A. If a p value of a one tailed test is 0.03, what will be the p value for a two tailed test?

Part B. Describe type 1 and type 2 error. Give an example of type 1 error and an example of type 2 error. What is the relationship between type 1 and type 2 error?

Answer 1

Part A
Since, the p-value of a one-tailed test is 0.03, the p-value for a two-tailed test will be just the double, i.e., 2*0.03 = 0.06.

Part B

Type 1 error

Type 1 error occurs when we reject a null hypothesis when in fact it is true or in the event of "false positive". It is denoted by the Greek letter ''. For example let:

H₀: A person doesn't have typhoid.

H₁: A person has typhoid.

In the above case, a Type 1 error occurs if a test concludes that the person has typhoid even though in reality he doesn't have the disease.

Type 2 error

Type 2 error occurs when we do not reject a null hypothesis when in fact it is false or in the event of "false negative". It is denoted by the Greek letter ''. For example let:

H₀: A person doesn't have typhoid.

H₁: A person has typhoid.

In the above case, a Type 2 error occurs if a test concludes that the person doesn't have typhoid even though in reality he does have the disease.

Relationship between type 1 and type 2 error

Type 1 error and type 2 error are inversely related, i.e., if we reduce the type 1 error then type 2 error will increase and vice-versa.

For any queries, feel free to comment and ask.

If the solution was helpful to you, don't forget to upvote it by clicking on the 'thumbs up' button.