In addition to the Shoshoni data of Case Study 7.4.2, a set of rectangles that might tend to the golden ratio are national flags. The table below gives the width-to-length ratios for a random sample of the flags of thirty-four countries. Let μ be the width-to-length ratio for national flags. At the α = 0.01 level, test H₀ : μ = 0.618 versus H₁ :μ ≠ 0.618

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Ratio Width to Height Ratio Country Country Width to Height Afghanistan Albania Algeria Angola Argentina Bahamas Denmark Djibouti Ecuador Egypt El Salvador 0.500 0.714 0.667 0.667 0.667 0.500 0.757 0.553 0.500 0.667 0.600 Iceland Iran Israel Laos Lebanon Liberia Macedonia 0.500 Mexico 0.720 0.571 0.727 0.667 0.667 0.526 0.571 Monaco Namibia 0.800 0.667 Nepal Romania Rwanda South Africa St. Helena Sweden United Kingdom 0.667 0.500 0.750 1.250 0.667 0.667 0.667 Estonia Ethiopia Gabon Fi 0.500 0.500 France Honduras 0.667 0.500 0.625 0.500