Solution of problem N1248 Laplace probability theory

Solution of problem N1248 Laplace probability theory

1248. With a sample of 250 people, it turned out that 105 of them support a certain candidate for parliament. How many people should be interviewed so that with a probability of 0.99 it could be argued that the proportion of voters supporting this candidate differs from the true share by no more than 0.05?

Additional information:

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)