FreeCalc sample size estimation						
						
						
Inputs						
Test sensitivity	1					
Test specificity	1					
Population size	1000					
Design prevalence	0.2					
Diseased elements	200					
Analysis method	Modified hypergeometric exact					
Target Type I error	0.05					
Target Type II error	0.05					
Population threshold for infinite probability formula	10000					
Maximum sample size	3200					
						
Results						
Required sample size:	14					
Cut-point number of reactors:	0					
Type I error:	0.043					
Type II error:	0					
Herd-level sensitivity:	0.957					
Herd-level specificity:	1					
Interpretation:	If a random sample of 14 units is taken from a population of 1000 and 0 or fewer reactors are found, the probability that the population is diseased at a prevalence of 0.2 is 0.043.					
Method:	Modified hypergeometric exact					
						
Detailed Results						
1	1	0.2	1	0	0.8	0
2	100	1	1	0	0	0
3	2	0.3602	1	0	0.6398	0
4	3	0.4884	1	0	0.5116	0
5	4	0.591	1	0	0.409	0
6	5	0.6731	1	0	0.3269	0
7	6	0.7388	1	0	0.2612	0
8	7	0.7914	1	0	0.2086	0
9	8	0.8334	1	0	0.1666	0
10	9	0.867	1	0	0.133	0
11	10	0.8938	1	0	0.1062	0
12	11	0.9153	1	0	0.0847	0
13	12	0.9324	1	0	0.0676	0
14	13	0.9461	1	0	0.0539	0
15	14	0.957	1	0	0.043	0