A 2011 Gallup survey based on telephone and face-to-face interviews with 4,220 adults in China, aged 15 and older suggests that 30% smoke regularly or occasionally. The following is also noted "one can say with 95% confidence that the maximum margin of sampling error is 2.2 percentage points". Which of the following is true based on the results of this survey? We are 95% confident that 25.6% to 34.4% of all Chinese adults smoke. We are 95% confident that 27.8 % to 32.2 % of all Chinese adults smoke. If the sample size was larger, the margin of error would be larger as well. Exactly 30% of all Chinese adults smoke. If we were to randomly sample another group of 4,220 Chinese adults we would find that exactly 30% of them smoke as well.

Name: A 2011 Gallup survey based on telephone and face-to-face interviews wi
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Description: A 2011 Gallup survey based on telephone and face-to-face interviews with 4,220 adults in China, aged 15 and older suggests that 30% smoke regularly or occasionally. The following is also noted "one can say with 95% confidence that the maximum margin

Given, Margin of error(E)=2.2%=0.022 p=30%=0.30 n=4220 From given data, The 95% C.I is = p±EThe 95% C.I is =0.3±0.022The 95% C.I is =(0.2780,0.3220)A 95% confidence interval for population proportion is between 27.80% to 32.20%Interpretation:We are 95% confident that 27.80% to 32.20% of all chinese adults smoke is true based on results of this survey.

Answered: A 2011 Gallup survey based on telephone…

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A 2011 Gallup survey based on telephone and face-to-face interviews with 4,220 adults in China, aged 15 and older suggests that 30% smoke regularly or occasionally. The following is also noted "one can say with 95% confidence that the maximum margin of sampling error is 2.2 percentage points". Which of the following is true based on the results of this survey?

We are 95% confident that 25.6% to 34.4% of all Chinese adults smoke.
We are 95% confident that 27.8 % to 32.2 % of all Chinese adults smoke.
If the sample size was larger, the margin of error would be larger as well.
Exactly 30% of all Chinese adults smoke.
If we were to randomly sample another group of 4,220 Chinese adults we would find that exactly 30% of them smoke as well.

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