Final answer:
According to the EEOC's Title VII of the Civil Rights Act, an applicant rejected due to a heavy accent has grounds for legal redress since it prohibits employment discrimination based on national origin.
Step-by-step explanation:
An applicant rejected because of a heavy accent has just cause for legal redress according to the EEOC's Title VII of the Civil Rights Act. This law prohibits discrimination in employment on the basis of race, color, religion, sex, or national origin, as well as discrimination against an employee for associating with an individual in one of these categories.
Furthermore, Title VII of the Civil Rights Act of 1964 explicitly makes it illegal for employers to discriminate against any individual with respect to compensation, terms, conditions, or privileges of employment because of such individual's race, color, religion, sex, or national origin, which would include discrimination based on a person's accent if it is tied to their national origin.