If you use a 0.05 level of significance in a two-tail hypothesis test, what decision will you make if ZSTAT=−1.52?

Determine the decision rule.
Transcribed Image Text:1 Cumulative Probablities 2 z 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 3 -6 1E-09 4 -5.5 1.9E-08 5 -4.5 3.398E-06 6 -4 3.167E-05 7 -3.9 0.00005 0.00005 0.00004 0.00004 0.00004 0.00004 0.00004 0.00004 0.00003 0.00003 0.00007 0.00005 0.00007 | 0.00006 0.0001| 8 -3.8 0.00007 0.00006 0.00006 0.00006 0.00005 0.00005 9 -3.7 0.00011 0.0001 0.0001 0.00009 0.00009 0.00008 0.00008 0.00008 0.00008 0.00015 0.00022 10 -3.6 0.00016 0.00015 0.00014 0.00014 0.00013 0.00013 0.00012 0.00012 0.00011 11 -3.5 0.00023 0.00022 0.00021 0.0002 0.00019 0.00019 0.00018 0.00017 0.00017 12 -3.4 0.00034 0.00032 0.00031 0.0003 0.00029 0.00028 0.00027 0.00026 0.00025 0.00024 13 -3.3 0.00048 0.00047 0.00045 0.00043 0.00042 0.0004 0.00039 0.00038 0.00036 0.00035 14 -3.2 0.00069 0.00066 0.00064 0.00062 0.0006 0.00058 0.00056 0.00054 0.00052 0.0005 15 -3.1 0.00097 0.00094 0.0009 0.00087 0.00084 0.00082 0.00079 0.00076 0.00074 0.00071 16 -3 0.00135 0.00131 0.00126 0.00122 0.00118 0.00114 0.00111 0.00107 0.00103 0.001 17 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 18 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.002 0.0019 0.0035 0.0047 0.0034 0.0045 0.0031 0.0027 0.0037 19 -2.7 0.0033 0.0032 0.003 0.0029 0.0028 0.0026 20 -2.6 0.0044 0.0043 0.0042 0.004| 0.0039 0.0038 0.0036 0.006 0.0049 0.0066 21 -2.5 0.0062 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0048 22 -2.4 0.0082 0.008 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0064 0.0104 0.0099 0.0091 0.0119 23 -2.3 0.0107 0.0102 0.0096 0.0094 0.0089 0.0087 0.0084 24 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0116 0.0113 0.011 25 -2.1 0.0179 0.0174 0.017 0.0166 0.0162 0.0158 0.0154 0.015 0.0146 0.0143 0.0228 0.0287 26 -2 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 0.0268 0.0336 0.0418 0.0516 27 -1.9 0.0281 0.0274 0.0262 0.0256 0.025 0.0244 0.0239 0.0233 0.0359 0.0446 28 -1.8 0.0351 0.0344 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 29 -1.7 0.0436 0.0427 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 30 -1.6 0.0548 0.0537 0.0526 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 0.0668 0.0808 31 -1.5 0.0655 0.0643 0.063 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 32 -1.4 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 33 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 34 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.102 0.1003 0.0985 35 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.123 0.121 0.119 0.117 36 -1 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 37 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.166 0.1635 0.1611 38 -0.8 0.2119 0.209 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 39 -0.7 0.242 0.2388 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 40 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2482 0.2451 41 -0.5 0.3085 0.305 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.281 0.2776 42 -0.4 0.3446 0.3409 0.3372 0.3336 0.33 0.3264 0.3228 0.3192 0.3156 0.3121 43 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.352 0.3483 0.3897 0.4286 44 -0.2 0.4207 0.4168 0.4129 0.409 0.4052 0.4013 0.3974 0.3936 0.3859 45 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4247 46 0.5 0.496 0.492 0.488 0.484 0.4801 0.4761 0.4721 0.4681 0.4641 47 48 49
Transcribed Image Text:1 Cumulative Probablities 2 z 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 3 0.5 0.504 0.508 0.512 0.516 0.5199 0.5239 0.5279 0.5319 0.5359 4 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.591 0.5948 0.5987 0.6026 0.6064 0.6103 0,6141 6 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0,648 0.6517 0.6554 0.6879 0.6736 0.7088 0.4 0.6591 0.6628 0.6664 0.67 0.6772 0.6808 0.6844 0.5 0.6915 0.695 0.6985 0.7019 0.7054 0.7123 0.7157 0.719 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7518 0.7549 0.7794 0.8078 10 0.7 0.758 0.7612 0.7642 0.7673 0.7704 0.7734 0.7764 0.7823 0.7852 11 0.8 0.7881 0.791 0.7939 0.7967 0.7995 0.8023 0.8051 0.8106 0.8133 12 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.834 0.8365 0.8389 13 1 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 14 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.877 0.879 0.881 0.883 15 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.898 0.8997 0.9015 16 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 17 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 18 1.5 0.9332 0.9345 0.9357 0.937 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 19 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9554 0.9641 20 1.7 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 0.9664 0.9706 0.9767 21 1.8 0.9649 0.9656 0.9671 0.9678 0.9686 0.9693 0.9699 0.9726 0.9761 0.9812 0.9854 22 1.9 0.9713 0.9719 0.9732 0.9738 0.9744 0.975 0.9756 23 2 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9817 24 2.1 0.9821 0.9826 0.983 0.9834 0.9838 0.9842 0.9846 0.985 0.9857 0.9878 0.9906 25 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9881 0.9884 0.9887 0.989 26 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9909 0.9911 0.9913 0.9916 27 2.4 0.9918 0.992 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 28 2.5 0.9938 0.994 0.9941 0.9943 0,9945 0.9946 0.9948 0.9949 0.9951 0.9952 29 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.996 0.9961 0.9962 0.9963 0.9964 30 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.997 0.9971 0.9972 0.9973 0.9974 31 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.998 0.9981 32 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0,9986 33 3 0.99865 0.99869 0.99874 0.99878 0.99882 0.99886 0.99889 0.99893 0.99897 0.999 34 3.1 0.99903 0.99906 0.9991 0.99913 0.99916 0.99918 0.99921 0.99924 0.99926 0.99929 35 3.2 0.99931 0.99934 0.99936 0.99938 0.9994 0.99942 0.99944 0.99946 0.99948 0.9995 36 3.3 0.99952 0.99953 0.99955 0.99957 0.99958 0.9996 0.99961 0.99962 0.99964 0.99965 37 3.4 0.99966 0.99968 0.99969 0.9997 0.99971 0.99972 0.99973 0.99974 0.99975 0.99976 0.99977 0.99984 0.99978 0.99979 0.99986 38 3.5 0.99978 0.9998 0.99981 0.99981 0.99982 0.99983 0.99983 39 3.6 0.99985 0.99985 0.99986 0.99987 0.99987 0.99988 0.99988 0.99989 40 3.7 0.99989 0.9999 0.9999 0.9999 0.99991 0.99991 0.99992 0.99992 0.99992 0.99992 41 3.8 0.99993 0.99993 0.99993 0.99994 0.99994 0.99994 0.99994 0.99995 0.99995 0.99995 42 3.9 0.99995 0.99995 0.99996 0.99996 0.99996 0.99996 0.99996 0.99996 0.99997 0.99997 43 4 0.9999683 44 4.5 0.9999966 45 5 0.9999997 46 5.5 1 47 1 48

Question

If you use a 0.05 level of significance in a two-tail hypothesis test, what decision will you make if ZSTAT=−1.52?

Determine the decision rule.

Accepted Answer

Given 
ZSTAT=-1.52, ɑ=0.05

Two tailed hypothesis

If you use a 0.05 level of significance in a​ two-tail hypothesis​ test, what decision will you make if ZSTAT=−1.52​? Determine the decision rule.