Final answer:
A country with a negative growth rate will not double in size and has a fertility rate below the replacement level, leading to population decline. Immigration is not necessarily linked to negative growth rates. Countries in Stage 5 of the demographic transition model often face such issues.
Step-by-step explanation:
A country with a negative population growth rate is experiencing a decline in its population size. This often occurs during Stage 5 of the demographic transition where both birth rates and death rates are low, but birth rates are lower than death rates, leading to a shrinking population size. The statement i. is true: a country with a negative growth rate will indeed not double in size at current birth and death rates.
Statement ii. is also true because if the fertility rate is below the replacement level of approximately 2.1, this indicates that the population will not replace itself without immigration, leading to a decline in population size over time. The replacement-level fertility is necessary to maintain a stable population without immigration.
Statement iii., however, is misleading as a country with a negative growth rate may or may not experience more immigration than emigration. Negative growth can be due to low fertility rates with or without the impact of migration. While it's true that some countries with negative growth rates are attractive to immigrants due to job opportunities, immigration is not necessarily the cause of negative growth rates.