Question

You catch a conversation between two sports sociologists in which one of them is bragging about her recent successful research study she conducted with the Women's USA Soccer Team. You hear from the team sociologist that she found statistical significance in her dependent t test. She described the experiment as having each player hit the ball before and after drinking a shot of coca-leaf tea. It was found that there was a significant reduction in the number of mistakes by each player. What was the direction and number of tails of this statistical test?

Group of answer choices

Negative directional, 1-tail

Postive directional, 1-tail

Negative directional, 2-tail

Non directional 1-tail

Answer 1

Positive directional, 1-tail

Explanation:

The null and alternative hypotheses for this dependent samples t test or paired samples t test are given as below:

Null hypothesis: H₀: There is no significant reduction in the number of mistakes by each player.

Alternative hypothesis: H_a: There is a significant reduction in the number of mistakes by each player.

We assume difference as before minus after.

H₀: µ_d = 0 versus H_a: µ_d > 0

This is a right tailed (positive directional) (one tailed) test.