Provide True/False answers to the following statements. Where false, explain why the statement is false. No credit will be given for answers without explanation.1. The world economy escaped the "Malthusian trap" around the year 1200. 2. Plotting output in logarithms is useful because the slope of the line can be interpreted as the growth rate of the time series.3. World economic growth has continued in the last forty years despite the experiences of China and India.4. Growth in GDP per capita in a country necessarily implies an alleviation of poverty.