After a recent medium-intensity earthquake, a team of engineers surveyed 25 residential houses for signs of minor structural damage. Out of the 25 houses, 5 had signs of minor damage.
(a) What is a 99.7% confidence interval for the proportion of houses that suffered minor damage?
(b) The engineers reported that more than 75% of the houses did not suffer any damage. With what level of confidence can this statement be made?
