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The table to the right shows the results of a survey in which 2561 adults from C

ID: 3368528 • Letter: T

Question

The table to the right shows the results of a survey in which 2561 adults from Country A, 1108 adults from Country B, and 1080 adults from Country C were asked if human activity contributes to global warming. Complete parts (a), (b), and (c). Adults who say that human activity contributes to global warmin 64% 86% 92% ountry A Country C (a Construct a 99% confidence interval for the proportion of adults from ountry A who say human activity contr utesto glo bal warming. (Round to three decimal places as needed.)

Explanation / Answer

Solution : Given data for country A : n = 2561 , p = 0.64 , q = 1-p = 0.36

(a) For 99% confidence interval , Z = 2.576

The 99% confidence interval of the proportion is => p +/- Z*sqrt(p*q/n)

=> 0.64 +/- 2.576*sqrt(0.64*0.36/2561)

=> (0.616 , 0.664)

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