The table to the right shows a survey in which 2585 adults from country A were asked if human activity contributes to global warming. Country A is 68%.

Construct a 95% confidence interval for the proportion of adults from Country a who says human activity contributes to global warming. Round to 3 decimals as needed.

Solutions

Expert Solution

Given,

Proportion of country A is = 0.68 ,

Total number of adults surveyed from country A is n = 2585

95% confidence interval for proportion p is

- Z_/2 * Sqrt( ( 1 - ) / n) < p < + Z_/2 * Sqrt( ( 1 - ) / n)

Where Z/2 is critical value at 95% confidence level = 1.96 (From the z table)

0.68 - 1.96 * sqrt( 0.68 * (1 - 0.68) / 2585) < p < 0.68 + 1.96 * sqrt( 0.68 * (1- 0.68) / 2585)

0.68 - 1.96 * sqrt( 0.68 * (0.32) / 2585) < p < 0.68 + 1.96 * sqrt( 0.68 * (0.32) / 2585)

0.68 - 1.96 * 0.00917 < p < 0.68 + 1.96 * 0.00917

0.662 < p < 0.698

95% CI is ( 0.662 , 0.698 )

orchestra answered 1 year ago

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