Final answer:
The statement is false; whether Anita's estate will owe federal estate taxes depends on whether her cumulative transfers exceed the federal estate tax exemption limit after accounting for any lifetime taxable gifts.
Step-by-step explanation:
The statement is false. Anita will likely have to pay federal estate taxes, assuming the question pertains to U.S. tax law. As of the current tax laws, the federal estate tax exemption is approximately $12 million for an individual. If Anita's cumulative transfers upon death are $4,000,000, and she never made any taxable gifts during her lifetime, her estate would not exceed the exempt amount and therefore, no federal estate taxes would be due. However, if her cumulative transfers include past taxable gifts that used up part of her lifetime exemption, her estate may indeed owe taxes.