Ted Works in the digital Acquisitions Department of the Vindale Public Library. The library is looking into switching some of its Holdings to a digital format. As part of a preliminary study, Ted randomly choose 150 books from the library's collection and found and 73 of them are available is e-books. Estimate the proportion of the library's collection that are available as e-books. including a margin of error.
Accepted Solution
A:
Answer:c. 48.67% ± 8.16%Step-by-step explanation:The proportion is:p = 73 / 150 = 0.4867The margin of error is:ME = z √(p (1 − p) / n)where z is the critical value, p is the proportion, and n is the sample size.For a 95% confidence interval, z ≈ 2.ME = 2 √(0.4867 (1 − 0.4867) / 150)ME = 0.0816So the proportion is 48.67% ± 8.16%.