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?
(A) H_0H0​: The proportion of balls hit to the left, right, and center is the same.
(B) H_0H0​: The proportion of balls that result in hits and outs is the same.
(C) H_0H0​: The distribution of the direction of the ball is the same for the population of hits and the population of outs.
(D) H_0H0​: The direction of the ball and whether it results in a hit or an out are independent.
(E) H_0H0​: There is an association between the direction of the ball and whether it results in a hit or an out.

Answer 1

Answer:

(D) H_0H0​: The direction of the ball and whether it results in a hit or an out are independent.

Step-by-step explanation:

Given that

There is 300 balls random sample is taken

We need to find out the appropriate null hypothesis that lies between the ball direction and lead to a hit or an out

So

Based on the given options, the option d is correct as the ball direction and its results either be hit or on out would represent that they are independent

Therefore the option d is correct