A key factor in the world’s economic condition is the population growth of the countries in the world. The file called Country Growth contains data for 231 countries. Consider these countries to be all the countries in the world.
a. From this population, suppose a systematic random sample of every fifth country is selected starting with the fifth country on the list. From this sample, test the null hypothesis that the mean population growth percentage between the years 1990 and 2000 is equal to 1.5%. Test using α = 0.05.
b. Now compute the average population growth rate for all 231 countries. After examining the result of the hypothesis test in part a, what type of statistical error, if any, was committed? Explain your answer.