A reporter for a large sports television network wants to determine if "homefield advantage" is dependent upon the sport. He collects data from a sample of games played in the four major professional sports in the country, and he records the number of home team wins and visiting team wins for these games. Use the 0.10 significance level to test the claim that home/visitor team wins are dependent on the sport. Find the value of the P-VALUE that would be used in a hypothesis test of the claim.

with 0.10 level of significance the P-VALUE that would be used in the hypothesis claim is 0.05%

Step-by-step explanation:

In hypothesis testing in statistics, we can say that the p-value is a probability of obtaining test results when we assume that the null hypothesis is correct.

The p-value is the probability that the null hypothesis is true.

A p-value less than or equals to 0.05  is statistically significant. It shows strong evidence against the null hypothesis, meaning  there is less than a 5% probability the null is correct and clearly we can say that the results are random.

Although there are several ways to solve this, we are going to start by plotting these points on a graph. Then, we will draw a line connecting them. This will allow us to simply count our slope.

However, to be able to count our slope, we must understand what slope is. The slope of a line describes its steepness, and it is the change in the y-value over the change in the x-value. It can be negative or positive, fractions or whole numbers, but will always be in the format of  (which sometimes can be simplified to a whole number).

Below, I have attached a graph with what this line will look like. When we look at this, we will notice that it is actually just a horizontal line. Since the line is not "climbing," it would have a slope of 0.

The math to prove this is simple, because when we put this in  format, we will notice that it is actually just , which equals 0.

Using all of the logic above and the graph below, we can conclude that the slope of this line is 0.