That is a great question. The tax withholding tables are designed to calculate withholding as if you only have one job and you stay at that job for the entire year. With the reduction in income, the new employer is likely calculating your withholdings at the lower income level and assuming you are now in a lower tax bracket. If you are concerned that your new employer might not be withholding enough tax, you have some options available to increase the withholding. You can omit your dependents from Step 3 on Form W-4 to have more tax withheld; or, you could use Line 4c of Form W-4 to have an additional amount withheld from each paycheck to help make-up the shortfall. You may also want to run the numbers through the TurboTax W-4 calculator: https://turbotax.intuit.com/tax-tools/calculators/w4/
I hope this is helpful!
