Blue Green Grey Brown
UV 0 23 27 19 33
UV 1 35 16 20 20
UV 2 30 26 15 23
UV 3 54 23 21 15

data set contains the results of scientific tests performed on a sample of 400 inhabitants of Transylvania, who were selected at random from the population of that region. Eye colour was classified as follows: blue; green; grey; brown. Reaction to controlled exposure of ultraviolet light at a given fixed intensity was classified as follows:
uv0 = mild reaction;
uv1 = moderate reaction;
uv2 = severe reaction;
uv3 = extremely severe reaction.


Construct a 95% confidence interval [L95,U95] for the percentage of all with green eyes. Here, L95 denotes the lower boundary of the confidence interval, and U95 denotes the upper boundary.
Construct also a 99% confidence interval [L99,U99] for the percentage of all with green eyes. Enter each of the four boundaries, each number being given correct to two decimal places:


  • (a). L95:
  • (a). U95:
  • (a). L99:
  • (a). U99: