Question

A sports physician conducted a study to investigate whether there is an association between running experience and the occurrence of a certain sport injury for marathon runners while training for a marathon. Data were collected on a random sample of 51 marathon runners. Each runner from the sample was categorized by running experience (low, medium, high) and whether or not the runner experienced the sport injury while training for a marathon. The conditions for inference were met, and a χ2 test statistic of approximately 8.12 was calculated.
Which of the following describes the p-value of the test?


p-value>0.25

0.10
0.05
0.01
p-value<0.01

Answer 1

Considering the test statistic for the chi-square distribution, the correct option regarding the p-value of the test is as follows:

p-value>0.25

How do we find the p-value for a chi-square distribution?

It is found using a calculator, given two parameters, the test statistic and the number of degrees of freedom.

In this problem, the parameters are as follows:

• Test statistic of 8.12.

• 50 degrees of freedom, as it is one less than the sample size of 51.

Using a chi-square calculator, the p-value is of 1, hence the correct option is:

p-value>0.25

More can be learned about p-values at https://brainly.com/question/16313918