Gender vs salary gap is a hot topic for a few years now. Being a HR professional I'd like to introduce my company to use statistics (hypothesis testing) to interpret information instead of just drilling down data line by line which can take lots of effort and yield results that we may not be confident in concluding.

I had a little basic in statistics, 10 years ago...I do need your kind help to find out if the test I choose is correct to begin with.

Current raw data observation, 10% gap between male and female employees

Research question: to find out if gender plays a part in explaining the 10% difference in salary gap

I choose Regression to test out my data. It returns Rsquare=0.1%, significance F = 0.03, Gender P-value = 0.03

Finding is that even though Gender can statistically explain the difference in salary gap, it only explains 0.1% of it.

Question: Is the test I used correct to begin with?

Question: Did I correctly state the question and finding?