Consider random sampling from a dichotomous population: let E be the event that is within 0.05

Question:

Consider random sampling from a dichotomous population: let E be the event that is within ±0.05 of p. In Example 9.1.5, we found that Pr{E} = 0.53 for n = 20 and p = 0.17. Calculate Pr{E} for n = 20 and p = 0.25. (Perhaps surprisingly, the two probabilities are roughly equal.)