Table 5.

Behavior of the Wald confidence interval width ${\stackrel{\sim }{W}}_{\mathrm{W}}$ as compared to the fixed value w₀ at π₀ = 0.95 and α = 0.05.

Sample size	w0	$P\left({\stackrel{\sim }{W}}_{\mathrm{W}}<w_0|{\pi }_0=0.95\right)$	$E\left({\stackrel{\sim }{W}}_{\mathrm{W}}|{\pi }_0=0.95\right)$	n*	CPn	${\text{CP}}_{n^{\ast }}$
10	0.2702	0.5987	0.1608	NAb	0.4022	NAb
11	0.2576	0.5688	0.1595	NAb	0.4311	NAb
100	0.0854	0.4360	0.0829	93	0.8770	0.9439
101	0.0850	0.6070	0.0825	94	0.8819	0.9447
200	0.0604	0.4547	0.0596	194	0.9241	0.9175
201	0.0603	0.5766	0.0594	195	0.9256	0.9188
1000	0.0270	0.4797	0.0269	994	0.9436	0.9474
1001	0.0270	0.5346	0.0269	995	0.9431	0.9542
2000	0.0191	0.4857	0.0191	1994	0.9458	0.9447
2001	0.0191	0.5245	0.0191	1995	0.9458	0.9463

Notes: n*, suggested sample size based on $E\left({\stackrel{\sim }{W}}_{\mathrm{W}}|{\pi }_0=0.95\right)>w_0$; CP_n, coverage probability for sample size n; ${\text{CP}}_{n^{\ast }}$, coverage probability for sample size n*;

^b, n* and ${\text{CP}}_{n^{\ast }}$ are not attainable for the corresponding sample size.