Table 5.

The empirical coverage probability and average length of 95% confidence interval of ${\pi }_0$ based on delta method, nonparametric bootstrap, and hybrid bootstrap for stratum-specific weighted inference.

		Bootstrap	Delta method	H Bootstrap	H Bootstrap
				${\lambda }_0=\hat{\lambda }$	$({\lambda }_0,p_0)=(\hat{\lambda },\hat{p})$
${\pi }_0$	$q_0$	CovP (Length)	CovP (Length)	CovP (Length)	CovP (Length)
1.2	97.0	0.938 (0.046)	0.952 (0.034)	0.964 (0.034)	0.963 (0.033)
1.2	98.0	0.934 (0.038)	0.954 (0.030)	0.962 (0.030)	0.958 (0.030)
1.2	98.4	0.922 (0.034)	0.938 (0.028)	0.964 (0.029)	0.955 (0.029)
1.2	98.6	0.920 (0.031)	0.940 (0.027)	0.968 (0.029)	0.962 (0.028)
1.2	98.8	0.902 (0.029)	0.926 (0.025)	0.962 (0.028)	0.956 (0.027)
1.2	99.0	0.918 (0.027)	0.938 (0.024)	0.978 (0.026)	0.952 (0.026)
1.2	99.2	0.902 (0.024)	0.930 (0.022)	0.972 (0.026)	0.965 (0.025)
1.2	99.4	0.882 (0.021)	0.930 (0.020)	0.970 (0.025)	0.969 (0.024)
1.2	99.6	0.858 (0.017)	0.946 (0.018)	0.986 (0.023)	0.984 (0.022)
1.2	99.8	0.836 (0.013)	0.960 (0.015)	0.996 (0.020)	0.991 (0.019)
1.2	99.9	0.844 (0.012)	0.940 (0.014)	0.984 (0.019)	0.986 (0.018)
1.2	100.0	0.802 (0.008)	0.922 (0.011)	0.970 (0.017)	0.952 (0.016)