Employers must reject a W-4 that is known to be false or has any what?

The correct answer highlights that employers must reject a W-4 that contains errors or omissions. This is crucial because a W-4 form is used by employees to indicate their tax situation to their employer, which directly affects the amount of federal income tax withheld from their paychecks. When errors or omissions are present, it can lead to incorrect withholding amounts, which might result in employees owing taxes or receiving a refund that doesn't reflect their true tax obligation.

If the form has missing information or contains incorrect details that could mislead the employer regarding the employee’s tax situation, it compromises the integrity of the payroll process. Therefore, employers have a responsibility to ensure the W-4 forms are complete and accurate to maintain compliance with tax laws and regulations, thereby avoiding potential penalties or issues for both the employees and the organization.

The other options, while they might seem relevant, do not encompass the complete range of issues that would necessitate rejecting a W-4. For instance, invalid dates or signatures could also be a problem, but the term "errors or omissions" broadly covers various other inaccuracies that can affect the form's validity.