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: p-value>0.25

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

The p-value is found using a calculator, given two parameters, the test statistic and the number of degrees of freedom.

In this question, the parameters are;

Test statistic = 8.12.

Degrees of freedom = 50

Thus, the sample size = 50 + 1 = 51.

Using an online chi-square calculator, the p-value is of 1, hence the correct option is: p-value>0.25

Read more about p-values at; brainly.com/question/16313918

Answer 2

Answer:

D 0.01< p-value <.05

Explanation:

since 8.12 is our test statistic, we only need to know the degrees of freedom to get our answer. if we were to make a chart of all the catagories we would get 3 rows(low, medium, high) and 2 columns (experienced sport injury while training, and not) In order to find our degrees of freedom we multiply our rows minus 1 and our columns minus 1.

so (3-1)(2-1) and we get 2.

so we can plug these numbers into a calculator and get a p value of .01725, which is in between .01 and .05. Therefore the answer is

D 0.01<p-value<.05