The correct option is E Without a policy restricting the number of children a family can have and with nursing homes where the elderly are provided with care, Census Bureau officials estimate that the United States' population has
(A) With no policy restricting the number of children a family can have and nursing homes that provide care for the elderly, Census Bureau officials estimate the United States' population to have - must be has , the population has grown
(B) With no policy restricting the number of children a family can have and with nursing homes that provide care for the elderly, Census Bureau officials’ estimate of the population in the United States has - wrong modifier starting with no policy , modifies estimate of Census Bureau officials, so estimate does not have policies.
(C) With no policy restricting the number of children a family can have and with nursing homes where the elderly are provided with care, the United States' population, Census Bureau officials estimate, has -wrong modifier starting with no policy , modifies population of the United States, so population does not have policies.
(D) Without a policy restricting the number of children a family can have and the elderly provided with care in nursing homes, the United States has a population that Census Bureau officials estimate to have - must be has , the population has grown
(E) Without a policy restricting the number of children a family can have and with nursing homes where the elderly are provided with care, Census Bureau officials estimate that the United States' population has - correct Census Bureau officials are without a policy, and "population has grown"