The margarita is one of the most common tequila-based cocktails, made with tequila mixed with triple sec and lime or lemon juice, often served with salt on the glass rim. A common ratio for a margarita is 2:1:1, which includes 50% tequila, 25% Triple Sec, and 25% fresh lime or lemon juice. A manager at a local bar is concerned that the bartender does not use the correct proportions in more than 50% of margaritas. He secretly observes the bartender and finds that he used the correct proportions in only 10 out of 30 margaritas. Use the critical value approach to test if the manager?s suspicion is justified at? =0.05.Letprepresent incorrectly used proportions.UseTable 1.
a.Select the null and the alternative hypotheses.
A)H0:p? 0.50;HA:p
B) H0:p? 0.50;HA:p> 0.50
C) H0:p= 0.50;HA:p? 0.50
b.Calculate the sample proportion.(Round your answer to 3 decimal places.)
c.Calculate the value of test statistic.(Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
d.Calculate the critical value.(Round your answer to 2 decimal places.)
e.What is the conclusion?
A)The manager?s suspicion is justified since the value of the test statistic falls in the rejection region.
B)The manager?s suspicion is not justified since the value of the test statistic falls in the rejection region.
C)The manager?s suspicion is justified since the value of the test statistic does not fall in the rejection region.
D)The manager?s suspicion is not justified since the value of the test statistic does not fall in the rejection region.
TABLE 1 Standard Normal Curve Areas Entrles In 11115 lahle pmldecumulalhre probabllmes. that 1: 019 area under \"recurvetothelaofz.he.mple,P(ZSl.52)= 0.0643. P425 72) *1 0 t 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.06 0.09 3.9 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 *36 0.0001 0.0001 0.0001 0.0001 0.0001 0.000] 0.0001 0.0001 0.0001 0.000] 3.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.000] 0.0001 0.0001 0.0001 0.0001 *36 0.0002 0.0002 0.000] 0.0001 0.0001 0.000] 0.0001 0.0001 0.0001 0.000] 3.5 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 *33 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 3.] 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 3.0 0.0013 0.1.1013 0.0013 0.0012 0.01112 0.0011 11.0011 0.0011 0.0010 0.0010 *29 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 2.3 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 *27 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 *25 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.00- 0.0066 0.0064 7 2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0067 0.0084 2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 *2] 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0138 0.0183 *1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 1.3 0.0359 0.0351 0.8344 0.0336 0.0329 0.0322 0.031 4 0.0307 0.0301 0.0294 1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.1140] 0.0392 0.0384 0.0375 0.0367 *1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 *1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 1.4 0.11808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 1.3 0.0968 0.0%] 0.0934 0.0918 0.0901 0.0885 0.0369 0.0853 0.0838 0.0823 1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 1.] 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 *1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.171] 0.1685 0.1660 0.1635 0.1611 *06 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 D.6 0.2743 0.27119 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 0.5 0.3005 0.3050 0.3015 0.2981 0.2946 0.2912 0.2377 0.2843 0.2810 0.2776 *0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.312] *0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.401 3 0.3974 0.3936 0.3897 0.3859 0. 1 0.4602 0.4562 0.4522 0.44 83 0.4443 0.4404 0.4364 0.4325 0.4236 0.4247 0.0 0.5000 0.49611 0.4920 0.4880 0.4840 0.4801 11.4761 0.4721 0.4631 0.4641 91111 Fmamlmuakulm mm Eats] TABLE .1. {Cominued} Enta lrr mlshble purlde curmlallve prtbahllla. that Is, the area under me cu'vetnme le ofz. Forexamle, PIE 51.521= 0.9357. z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5739 0.5279 0.5319 0.5359 0.1 0.5398 0.5433 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5632 0.5871 0.5910 11.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.633] 0.6366 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.659] 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6379 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.729] 0.7324 0.7357 0.7389 0.7422 0.7454 0.7466 0.7517 0.7549 0.7 0.7580 11.7611 0.7642 0.7673 11.7704 8.7734 0.7764 0.7794 0.7823 0.7352 0.8 0.780] 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.6078 0.8106 0.8133 0.9 0.3159 0.8186 0.8212 0.3238 0.8264 0.8289 0.8315 0.3340 0.8365 0.8389 1.0 0.6413 0.8436 0.8461 0.6465 0.8508 0.853] 0.8554 0.6577 0.8599 0.8621 1.] 0.6643 0.8665 0.8686 0.6708 0.8729 0.8749 0.8770 0.6790 0.8810 0.8630 1.2 0.3849 0.8369 0.8888 0.3907 0.8925 0.8944 0.8962 0.3980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9062 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.925] 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9464 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9562 0.959] 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9673 0.9686 0.9693 0.9699 11.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9773 0.9783 0.9738 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.1 0.982] 0.9826 0.9830 0.9834 11.9838 11.9642 0.9846 0.9850 0.9854 0.9657 2.2 0.986] 0.9664 0.9868 0.9871 0.9875 0.9676 0.9881 0.9864 0.9887 0.9690 2.3 0.9893 0.9396 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.4 0.9918 0.9920 0.9922 0.9925 11.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974- 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9973 0.9979 0.9979 0.9980 0.9981 2.9 0.998] 0.9982 0.9982 0.9963 11.9984 11.9984 0.9985 0.9965 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9968 0.9988 0.9989 0.9989 0.9969 0.9990 0.9990 3.] 0.9990 0.999] 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 11.9996 11.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9996 3.5 0.9998 0.9993 0.9998 0.9998 0.9998 0.9993 11.9998 0.9998 0.9998 0.9993 3.6 0.9998 0.9996 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.7 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.8 0.9999 0.9999 0.9999 0.9999 0.9999 11.9999 0.9999 0.9999 0.9999 0.9999 3.9 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 51111 Pmlnhllllu Gtulamdwnh Elm
