Question: A speed-reading course guarantees a certain reading rate increase within 2 days. The teacher knows a few people will not be able to achieve this

A speed-reading course guarantees a certain reading rate increase within 2 days. The teacher knows a few people will not be able to achieve this increase, so before stating the guaranteed percentage of people who achieve the reading rate increase, he wants to be 98 percent confident that the percentage has been estimated to within 5 percent of the true value. What is the most conservative sample size needed for this problem? Please provide proper answer with detail explanation.

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