3 N3 6 170% KY 8 2. The costs associated with conducting interviews for a job opening have skyrocketed over the years. According to a survey, we find that 230 out of 400 senior human resources executives believe that their hiring managers are interviewing too many people to find qualified candidates. (a) Please find a 95% confidence interval for the proportion of senior human resources executives who believe that their hiring managers interview too many candidates during a job search. (10 pts) (b) If we hope the width of the confidence interval in part a is equal to 0.1, how many senior human resources executives should be sampled? (5 pts) (c) Is it reasonable that the proportion of senior human resources executives who believe their hiring managers interview too many candidates is greater than 50%? Please test with 0.05 level of significance. (10 pts) df nokasat EN A 22C Rain showers ~ DE () ENG 13:38 11.05.2 acer80% Table I Normal Curve Areas 00 01 02 03 04 ,05 .06 .07 .08 .09 0000 .0040 0080 0120 0160 0199 .0239 0279 0319 0359 0398 .0438 0517 .0557 0596 .0636 0675 0714 0753 0793 0832 .0871 0910 .0948 0987 .1026 .1064 1103 1141 1179 1217 .1255 1293 1331 -1368 .140 1443 .1480 .1517 1554 1591 1628 1664 1700 .1736 .1772 .1808 .1844 1879 1915 .1950 .1985 2019 .2054 .2088 2123 2157 2190 .2224 2257 2291 .2324 .2357 .2389 2422 .2454 2486 .2517 2549 2580 .2611 ,2642 .2673 .270 .2734 2764 .2794 2823 .2852 2881 .2910 .2939 2967 2995 3023 3051 3078 3106 3133 3159 .3186 .3212 3238 .3264 .3289 3315 .3340 .3365 3389 3413 3438 3461 .3485 .3508 3.53 3554 3577 1599 .3621 1.1 .3643 3665 3686 .3708 .372 .3749 3770 .3790 3810 3830 1.2 3849 3869 3888 .3907 ,3925 .3944 3962 3980 3997 4015 1.3 4032 4049 1066 4082 .4099 4115 4131 4147 4162 4177 1.4 4192 4207 4222 4236 4251 4265 4279 4292 4306 4319 1.5 4332 4345 4357 .4370 4382 4.394 4406 4418 4429 .4441 1.6 4452 4463 1474 .4484 4495 4505 4515 4525 4535 4545 1.7 4554 4564 4573 4582 4591 .4599 4608 4616 4625 4633 1.8 4641 4649 4656 466- 4671 4678 4686 469% 4699 470 1.9 4713 4719 4720 4732 4738 4744 4750 $756 4761 4767 2.0 4772 4778 4783 4788 4793 4798 4803 .4808 4812 4817 2.1 4821 4826 4830 4834 4838 4842 4846 4850 4854 4857 2.2 4861 4864 4868 4871 4875 4878 4881 4884 4887 4890 2.3 4893 4896 4898 490 1 4904 4906 .4909 4911 4913 4916 2.4 4918 4920 4922 4925 4927 4929 4931 4932 .4934 4936 25 4938 4940 4941 .4943 4945 4946 4948 4949 4951 4952 2.6 4953 4955 4956 4957 .4959 4960 4961 4962 4963 4964 2.7 4965 4966 4967 4968 4969 4970 4971 4972 4973 2.8 4974 4974 4975 .4976 4977 4977 4978 4979 4979 4980 29 4981 4981 4987 4982 4983 4984 4984 .4985 4985 4986 4986 3.0 4987 4987 4987 4988 4988 4989 4989 14989 .4990 4990 3.1 49903 49906 49910 49913 49916 49918 49921 49924 49926 19929 3.2 49931 49934 .49936 49938 49940 49942 .49944 49946 49948 49950 3.3 49952 49953 49955 49957 40958 3.4 49960 49961 49962 49964 49965 49966 49968 49969 49970 35 49971 49972 49973 49974 49975 49976 49977 49978 49978 49979 .49980 49981 49981 49982 49983 49983 3.6 49984 49985 49985 49986 49987 3.7 49987 49088 40988 49989 49989 49990 49990 3.8 19990 .4909 .49991 49902 49992 19993 49993 49993 49994 3.9 49994 49094 49904 49995 49095 49995 149995 49995 49996 49996 -49996 49996 49096 ,-49996 -49997 49997 Source Abridged from Table Iof A Bald Statistical Tables and Formula (New York: Wiles 15 9 O SA EN 220