A modeler has constructed a multiple regression with k = 10 explanatory variables to predict costs to

Question:

A modeler has constructed a multiple regression with k = 10 explanatory variables to predict costs to her firm of providing health care to its employees. To decide which of the 10 explanatory variables is statistically significant, she rejects H0: βj = 0 if the p-value for the t-statistic of a slope is less than 0.05. What is her chance for making a Type I error?