Problem# Question E The Problem with Canada (or, the Problem with the USA) Consi

Question

Problem# Question E The Problem with Canada (or, the Problem with the USA) Consider a political poll of 4000 people, that finds 55% in favor of whatever issue it was about. Note: the following voter counts are rough ballpark estimates, not verified by Wikipedia. a: Compute the Margin of Error at 95% confidence if the poll took place in Canada, with 10,000,000 voters numerical answer: b: Compute the Margin of Error at 95% confidence if the poll took place in the USA, with 100,000,000 voters numerical answer: c: People often question how political polls can get away with sampling so few people out of such a big population. How would you respond to them? Problem# Question E The Problem with Canada (or, the Problem with the USA) Consider a political poll of 4000 people, that finds 55% in favor of whatever issue it was about. Note: the following voter counts are rough ballpark estimates, not verified by Wikipedia. a: Compute the Margin of Error at 95% confidence if the poll took place in Canada, with 10,000,000 voters numerical answer: b: Compute the Margin of Error at 95% confidence if the poll took place in the USA, with 100,000,000 voters numerical answer: c: People often question how political polls can get away with sampling so few people out of such a big population. How would you respond to them?

Explanation / Answer

The margin of error is given as

Z*sqrt(p*(1-p)/n) , here for 95% the value is 1.96

here

1.96*sqrt(0.55*(1-0.55)/10000000) = 0.000308

for 100,000,000

1.96*sqrt(0.55*(1-0.55)/100000000) = 0.0000975

If the sampling a true representative of entire population, then inferences can be made about the population from the sample taken, with certian confidence intervals that account for the uncertainity in the answers due to the sampling technique.

also , the sampling should be done such that the sample is a representative of the entire population such that each strata of the big population is represented in the sample

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