An agent claims that there is no difference between the pay

An agent claims that there is no difference between the pay of safeties and linebackers in the NFL. A survey of 15 safeties found an average salary of $501,580, and a survey of 15 linebackers found an average salary of $513,360. What would be a Type I error in the contest of this problem?

Claiming that there is no difference in the salaries between safeties and linebackers in the NFL when there is a difference in salaries.

claiming that there is a difference in the salaries between safeties and linebackers in the NFL when there is no difference in salaries.

Claiming that there is no way to determine if there is any difference in salaries.

Solution

Type I error : We reject the null hypothesis when it is true

Answer: claiming that there is a difference in the salaries between safeties and linebackers in the NFL when there is no difference in salaries.