Question

A random sample of 300 balls hit into play in college baseball games is taken. For each ball hit into play, it is recorded whether the ball was hit to the left, center, or right of the field, and whether the ball resulted in a hit or an out. Which of the following is the appropriate null hypothesis to test if there is a relationship between the direction of the ball and if it resulted in a hit or an out?

Answer 1

Null hypothesis: There is no relationship between direction of the ball and if it resulted in a hit or an out.

Explanation:

In this case, the experiment conducted is to determine whether there is any relationship between the direction of the ball and if it resulted in a hit or an out.

A random sample of 300 balls hit into play in college baseball games is taken. For each ball hit into play, it is recorded whether the ball was hit to the left, center, or right of the field, and whether the ball resulted in a hit or an out.

The regression analysis would be used to determine whether there is any relationship between direction of the ball and if it resulted in a hit or an out.

The hypothesis for the regression analysis is defined as follows:

H₀: There is no relationship between direction of the ball and if it resulted in a hit or an out.

Hₐ: There is a significant relationship between direction of the ball and if it resulted in a hit or an out.

Answer 2

D) H0 : The direction of the ball and whether it results in a hit or an out are independent.

Explanation:

This is a random sample from one population, not two samples from two populations, so it is a test of association/independence.