8.12 In a sample of 1000 adults, 30% complain of suffering from insomnia. Use equation 8.10...

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8.12 In a sample of 1000 adults, 30% complain of suffering from insomnia. Use equation 8.10 to calculate the 95% confidence interval for this proportion and compare this interval to that found in table A.11. Table A.11 95% Confidence Intervals for p as Estimated by the Sample Proportion P for Different Sample Sizes. In each cell, the top number represents the lower confidence limit and the bottom number represents the upper limit. Values from Rohlf and Sokal (2012). 20 50 100 200 500 0.05 .0026 1000 .0119 .0200 .0268 .2442 .0338 .1519 .0379 .1134 .0893 .0727 0.10 .0181 .0653 .0403 .0534 .0642 .0757 .3199 .0824 .2176 .1740 .1494 .1297 .1203 0.15 .0422 .0711 .0890 .1060 .1208 .1289 .3722 .2782 .2340 .2069 .1838 .1734 0.20 .0714 .1066 .1287 .1495 .1668 .1759 .4235 3385 2893 .2620 .2378 .2259 0.25 .1041 .1462 .1741 .1946 2139 2240 .4745 .3891 3444 3147 .2898 .2779 0.30 .1396 .1880 .2142 2396 .2609 .2720 .5254 .4396 .3996 3672 3419 3294 0.35 .1669 2281 .2591 .2855 3089 3210 .5764 .4899 4498 .4198 .3929 3804 0.40 .2090 2680 3056 3322 3576 .3700 .6277 .5402 5000 4699 4439 .4309 0.45 .2443 3177 3546 3824 4060 4190 .6800 .5906 5501 5200 4939 4809 0.50 .2928 3589 .3997 .4299 .4560 .4690 .7072 .6411 .6003 5071 5440 .5310 8.12 In a sample of 1000 adults, 30% complain of suffering from insomnia. Use equation 8.10 to calculate the 95% confidence interval for this proportion and compare this interval to that found in table A.11. Table A.11 95% Confidence Intervals for p as Estimated by the Sample Proportion P for Different Sample Sizes. In each cell, the top number represents the lower confidence limit and the bottom number represents the upper limit. Values from Rohlf and Sokal (2012). 20 50 100 200 500 0.05 .0026 1000 .0119 .0200 .0268 .2442 .0338 .1519 .0379 .1134 .0893 .0727 0.10 .0181 .0653 .0403 .0534 .0642 .0757 .3199 .0824 .2176 .1740 .1494 .1297 .1203 0.15 .0422 .0711 .0890 .1060 .1208 .1289 .3722 .2782 .2340 .2069 .1838 .1734 0.20 .0714 .1066 .1287 .1495 .1668 .1759 .4235 3385 2893 .2620 .2378 .2259 0.25 .1041 .1462 .1741 .1946 2139 2240 .4745 .3891 3444 3147 .2898 .2779 0.30 .1396 .1880 .2142 2396 .2609 .2720 .5254 .4396 .3996 3672 3419 3294 0.35 .1669 2281 .2591 .2855 3089 3210 .5764 .4899 4498 .4198 .3929 3804 0.40 .2090 2680 3056 3322 3576 .3700 .6277 .5402 5000 4699 4439 .4309 0.45 .2443 3177 3546 3824 4060 4190 .6800 .5906 5501 5200 4939 4809 0.50 .2928 3589 .3997 .4299 .4560 .4690 .7072 .6411 .6003 5071 5440 .5310