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Question

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Explanation / Answer

At 99% confidence interval the critical value is z0.005 = 2.58

a) The 99% confidence interval for the country A is

p +/- z0.005 * sqrt(p * (1 - p)/n)

= 0.63 +/- 2.58 * sqrt((0.63 * (1 - 0.63)/2550)

= 0.63 +/- 0.025

= 0.605, 0.655

b) The 99% confidence interval for the country A is

p +/- z0.005 * sqrt(p * (1 - p)/n)

= 0.89 +/- 2.58 * sqrt((0.89 * (1 - 0.89)/1132)

= 0.89 +/- 0.024

= 0.866, 0.914

c) The 99% confidence interval for the country A is

p +/- z0.005 * sqrt(p * (1 - p)/n)

= 0.91 +/- 2.58 * sqrt((0.91 * (1 - 0.91)/1080)

= 0.89 +/- 0.022

= 0.868, 0.912