Question

1. A person is preparing a brand new study and determines that she will be conducting a single sample t-test, and her effect size will be .50.

1. How many total participants does she need to reach a power of .85 with an alpha = .05?   

2. Interpret your answer to Question 2a. In other words, what does a power equal to .85 mean in the context of testing a hypothesis?

              

Answer 1

GIVEN THAT :

According to the question we have that

A researcher is preparing a new study

he will be conducting a single sample t-test

her effect size will be .50.

TO FIND :-a) How many total participants does she need to reach a power of .85 with an alpha = .05?

now

*Single sample t test is useful whether the sample mean is statistically different from a known .

**It is a parametric test and also known as One sample t test.

now  calculations based on effeect size 0.50, power 0.85 and alpha 0.05

we get that ,

sample size computed is 38

TO FIND :-b)nterpret your answer to Question 2a. In other words, what does a power equal to .85 mean in the context of testing a hypothesis?

this context it means 85%

==>Power means the probability of accepting alternaive hypothsis when it is true

this context it means 85%

==>means we have a chance of accepting alternative hypothesis when it is true.

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