The table to the right shows the results of a survey in which 2572 adults from C

Question

The table to the right shows the results of a survey in which 2572 adults from Country A, 1128 adults from Country B and 1080 adults from Country C were asked if human activity contributes to global activity contributes to global warming. Complete parts (a), (b), and (c). Adults who say that human activity contributes to global Country A 61% Country B 89% Country C 91% (a) Construct a 99% confidence interval for the proportion of adults from Country A who say human activity contributes to global warming (Round to three decimal places as needed)

Explanation / Answer

Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
Sample Size(n)=2572
People survey from country A proportion = x/n =0.61
Confidence Interval = [ 0.61 ±Z a/2 ( Sqrt ( 0.61*0.39) /2572)]
= [ 0.61 - 2.576* Sqrt(0) , 0.61 + 2.58* Sqrt(0) ]
= [ 0.585,0.635]

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