Question: Katrina wants to estimate the proportion of adults who read at least 10 books last year. To do? so, she obtains a simple random sample of 100 adults and constructs a?95% confidence interval. Matthew also wants to estimate the proportion of adults who read at least 10 books last year. He obtains a simple random sample of 400 adults and constructs a? 99% confidence interval. Assuming both Katrina and Matthew obtained the same point? estimate, whose estimate will have the smaller margin of error? Justify your answer.