FreeCalc sample size estimation						
						
						
Inputs						
Test sensitivity	1					
Test specificity	1					
Population size	1000					
Design prevalence	0.1					
Diseased elements	100					
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:	29					
Cut-point number of reactors:	0					
Type I error:	0.045					
Type II error:	0					
Herd-level sensitivity:	0.955					
Herd-level specificity:	1					
Interpretation:	If a random sample of 29 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 0.1 is 0.045.					
Method:	Modified hypergeometric exact					
						
Detailed Results						
1	1	0.1	1	0	0.9	0
2	100	1	1	0	0	0
3	2	0.1901	1	0	0.8099	0
4	3	0.2712	1	0	0.7288	0
5	4	0.3443	1	0	0.6557	0
6	5	0.4102	1	0	0.5898	0
7	6	0.4694	1	0	0.5306	0
8	7	0.5228	1	0	0.4772	0
9	8	0.5709	1	0	0.4291	0
10	9	0.6141	1	0	0.3859	0
11	10	0.6531	1	0	0.3469	0
12	11	0.6881	1	0	0.3119	0
13	12	0.7197	1	0	0.2803	0
14	13	0.748	1	0	0.252	0
15	14	0.7736	1	0	0.2264	0
16	15	0.7965	1	0	0.2035	0
17	16	0.8172	1	0	0.1828	0
18	17	0.8358	1	0	0.1642	0
19	18	0.8525	1	0	0.1475	0
20	19	0.8675	1	0	0.1325	0
21	20	0.881	1	0	0.119	0
22	21	0.8931	1	0	0.1069	0
23	22	0.9041	1	0	0.0959	0
24	23	0.9139	1	0	0.0861	0
25	24	0.9227	1	0	0.0773	0
26	25	0.9306	1	0	0.0694	0
27	26	0.9377	1	0	0.0623	0
28	27	0.9441	1	0	0.0559	0
29	28	0.9499	1	0	0.0501	0
30	29	0.955	1	0	0.045	0