Summarize this article:

If you have exhausted all administrative remedies and you are still not satisfied, you may be able to file a lawsuit in federal court. In most cases, to file a federal lawsuit, you must have received a Notice-of-Right-to-Sue. You must file your lawsuit within 90 days of receiving this notice. During the administrative process, you may be able to file a lawsuit if:  180 days have passed since you filed your complaint and the agency has not filed a decision and no appeal has been filed; or 180 days have passed since you filed your appeal with the EEOC and they have not issued a decision. Direct evidence is extremely rare in racial discrimination cases. However, if you have it, offer it in court. Direct evidence is an action or statement that directly reflects a discriminatory attitude. If you have direct evidence, there is an automatic finding of discrimination against the employer. An example of direct evidence would be a recording of the employer saying you are being fired because of your skin color. If you do not have direct evidence, you will need to offer circumstantial evidence in court. To make a circumstantial case in court, you will need to first make a prima facie case of racial discrimination.  If you are suing under a theory of disparate treatment, you will need to show: (1) that you are a member of a protected racial class; (2) that you applied and were qualified for the job; (3) you were rejected; and (4) the employer continued to solicit applications with qualifications equal to yours. If you are suing under a theory of disparate impact, you will need to show: (1) the existence of a disparity; (2) the disparity was caused by a specific policy or practice; (3) that the challenged policy was not justified; and (4) that less discriminatory measures were available and would have been just as effective. The employer will have a chance to rebut your prima facie case in court. To do so, the employer must provide a non-discriminatory and legitimate reason for the challenged action. The employer must simply articulate a reason, they do not have to prove it was the actual reason for the decision. You will then have an opportunity to discredit the employer's reasoning. You can do this by proving the employer's reasoning is not factually correct or that it was not the true reason for their decision. If you can do this, you will win your federal lawsuit and will receive a judgment in your favor.

Summary:
File a lawsuit. Offer direct evidence. Make a "prima facie" case of racial discrimination. Allow the employer to respond. Discredit the employer.