The newspaper conducted an opinion poll on April 12, asking: "Which list would you vote for if you went to the polls today?" 800 people were asked but only 54%, i.e. 432 people took a stand. Of the 432 who took a stand, they said they would vote for the Independence Party. a) Find a 95% confidence interval for the percentage of those who intend to vote for the Independence Party in the upcoming elections. Those who took a stand shall be used in the calculations. b) Discuss possible shortcomings in the poll.

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The newspaper conducted an opinion poll on April 12, asking: "Which list would you vote for if you went to the polls today?" 800 people were asked but only 54%, i.e. 432 people took a stand. Of the 432 who took a stand, they said they would vote for the Independence Party.
a) Find a 95% confidence interval for the percentage of those who intend to vote for the Independence Party in the upcoming elections. Those who took a stand shall be used in the calculations.
b) Discuss possible shortcomings in the poll.

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