Maximus is the owner of a bookstore in Brisbane. He is looking to add more books of the fantasy genre to his store but he is not sure if that is a profitable decision. He asked 60 of his store customers whether they liked reading books that fit in that genre and 45 customers told him they did. He wants his estimate to be within 0.1, either side of the true proportion with 99% confidence. How large of a sample is required? Note: Use an appropriate value from the Z-table and that hand calculation to find the answer (i.e. do not use Kaddstat).