A sample of patients is tested to determine if they have any hospital borne infections. How large of a sample must be collected to be accurate within 0.01 at the 1% level of significance, if the...

A sample of patients is tested to determine if they have any hospital borne infections. How large of a sample must be collected to be accurate within 0.01 at the 1% level of significance, if the hospital estimates the true proportion of patients infected is 0.045?