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Q1) Sample poll of 100 voters selected at random from all voters in given district pointed out that 53% of them were in favour of a particular candidate.
a) Determine a 95% confidence interval for proportion of all voters in favour of candidate.
b) Based on this would you be 95% confident that this candidate will win election by winning at least 50% of all the votes?
c) How large a sample size would be required to be with 1% of true proportion of voters who would vote for this applicant with 99% confidence?
When the level of confidence and sample size remain the same, a confidence interval for a population proportion π will be __________ when p(1-p) is larger than when p(1-p) is smaller.
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