A marketing expert for a pasta-making company believes that 50% of pasta lovers prefer lasagna. If 13 out of 20 pasta lovers choose lasagna over other pastas, what can be concluded about the expert's claim? Use a 0.10 level of significance. Click here to view the binomial probability sums table for n=17 and n=18. Click here to view the binomial probability sums table for n=19 and n=20. Let a success be a pasta lover that chooses lasagna over other pastas. Identify the null and alternative hypotheses. A. Ho: p=0.5 H₁: p 0.5 D. Ho: p>0.5 H₁: p=0.5 The test statistic is a binomial variable X with p = ☐ and n = [ (Type integers or decimals. Do not round.) ○ B. Ho: p = 0.5 H₁: p>0.5 ○ E. Ho: p=0.5 H₁: p<0.5 ○ C. Ho: p<0.5 H₁ p=0.5 ○ F. Ho: p# 0.5 H₁: p=0.5 Binomial Probability Sums b(x;n,p) 0 Binomial Probability Sums b(z;n,p) P 12 " 0.10 2 3 0.20 0.25 0.30 0.40 0.50 17 0 0.1668 0.0225 0.0075 0.0023 0.0002 0.0000 1 0.4818 0.1182 0.0501 0.0193 0.0021 0.0001 0.7618 0.3096 0.1637 0.0774 0.0123 0.0012 0.9174 0.5489 0.3530 0.2019 0.0464 0.0064 0.60 0.70 0.80 0.90 19 0 0.0000 0.10 0.20 0.25 0.1351 0.0144 0.0042 0.0011 0.0001 1 0.4203 0.0829 0.0310 0.0104 0.0008 0.0000 P 0.30 0.40 0.50 0.60 0.70 0.80 0.90 0.0001 2 0.7054 0.2369 0.1113 0.0462 0.0055 0.0004 0.0000 0.0005 0.0000 3 0.8850 0.4551 0.2631 0.1332 0.0230 0.0022 0.0001 4 0.9779 0.7582 0.5739 0.3887 0.1260 0.0245 0.0025 0.0001 5 0.9953 0.8943 0.7653 0.5968 0.2639 0.0717 6 0.9992 0.9623 0.8929 0.7752 10 11 12 13 14 15 16 17 0.4478 7 0.9999 0.9891 0.9598 0.8954 0.6405 8 1.0000 0.9974 0.9876 0.9597 0.8011 9 0.9995 0.9969 0.9873 0.9081 0.6855 0.9999 0.9994 0.9968 0.9652 0.8338 0.5522 1.0000 0.9999 0.9993 0.9894 0.9283 0.7361 0.4032 0.1057 0.0047 1.0000 0.9999 0.9975 0.9755 0.8740 0.6113 0.2418 0.0221 1.0000 0.9995 0.9936 0.9536 0.7981 0.4511 0.0826 0.9999 0.9988 0.9877 0.9226 0.6904 0.2382 1.0000 0.9999 0.9979 0.9807 0.8818 0.5182 1.0000 0.9998 0.9977 0.9775 0.8332 1.0000 1.0000 1.0000 1.0000 18 0 0.1501 0.0180 0.0056 0.0016 0.0001 0.0000 1 0.4503 0.0991 0.0395 0.0142 0.0013 0.0001 2 0.7338 0.2713 0.1353 0.0600 0.0082 0.0007 0.0000 3 0.9018 0.5010 0.3057 0.1646 0.0328 0.0038 0.0002 4 0.9718 0.7164 0.5187 0.3327 0.0942 0.0154 0.0013 0.0000 5 0.9936 0.8671 0.7175 0.5344 0.2088 0.0481 0.0058 0.0003 6 0.9988 0.9487 0.8610 0.7217 0.3743 0.1189 0.0203 0.0014 0.0000 7 0.9998 0.9837 0.9431 0.8593 0.5634 0.2403 0.0576 0.0061 0.0002 8 1.0000 0.9957 0.9807 0.9404 0.7368 0.4073 0.1347 0.0210 0.0009 9 0.9991 0.9946 0.9790 0.8653 0.5927 0.2632 0.0596 0.0043 0.0000 0.9998 0.9988 0.9939 0.9424 0.7597 0.4366 0.1407 0.0163 0.0002 1.0000 0.9998 0.9986 0.9797 0.8811 0.6257 0.2783 0.0513 0.0012 1.0000 0.9997 0.9942 0.9519 0.7912 0.4656 0.1329 0.0064 1.0000 0.9987 0.9846 0.9058 0.6673 0.2836 0.0282 0.9998 0.9962 0.9672 0.8354 0.4990 0.0982 1.0000 0.9993 0.9918 0.9400 0.7287 0.2662 0.9999 0.9987 0.9858 0.9009 0.5497 1.0000 0.9999 0.9984 0.9820 0.8499 1.0000 1.0000 1.0000 1.0000 0.0106 0.0007 0.0000 0.1662 0.0348 0.0032 0.0001 0.3145 0.0919 0.0127 0.0005 0.5000 0.1989 0.0403 0.0026 0.0000 0.3595 4 0.9648 0.6733 0.4654 0.2822 0.0696 0.0096 0.0006 0.0000 5 0.9914 0.8369 0.6678 0.4739 0.1629 0.0318 0.0031 0.0001 0.1046 0.0109 0.0001 0.2248 0.0377 0.0008 10 11 12 13 14 15 16 17 18 19 6 0.9983 0.9324 0.8251 0.6655 0.3081 0.0835 0.0116 0.0006 7 9 0.9997 0.9767 0.9225 0.8180 0.4878 0.1796 0.0352 0.0028 0.0000 8 1.0000 0.9933 0.9713 0.9161 0.6675 0.3238 0.0885 0.0105 0.0003 0.9984 0.9911 0.9674 0.8139 0.5000 0.1861 0.0326 0.0016 0.9997 0.9977 0.9895 0.9115 0.6762 0.3325 0.0839 0.0067 0.0000 1.0000 0.9995 0.9972 0.9648 0.8204 0.5122 0.1820 0.0233 0.0003 0.9999 0.9994 0.9884 0.9165 0.6919 0.3345 0.0676 0.0017 1.0000 0.9999 0.9969 0.9682 0.8371 0.5261 0.1631 0.0086 1.0000 0.9994 0.9904 0.9304 0.7178 0.3267 0.0352 0.9999 0.9978 0.9770 0.8668 0.5449 0.1150 1.0000 0.9996 0.9945 0.9538 0.7631 0.2946 1.0000 0.9992 0.9896 0.9171 0.5797 0.9999 0.9989 0.9856 0.8649 1.0000 1.0000 1.0000 1.0000 20 0 0.1216 0.0115 0.0032 0.0008 0.0000 1 0.3917 0.0692 0.0243 0.0076 0.0005 0.0000 2 0.6769 0.2061 0.0913 0.0355 0.0036 0.0002 10 11 12 13 14 15 | - | - 10 1 11 12 1 13 16 14 17 15 18 16 " 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 e 17 18 P с ¡A 19 3 0.8670 0.4114 0.2252 0.1071 0.0160 0.0013 0.0000 4 0.9568 0.6296 0.4148 0.2375 0.0510 0.0059 0.0003 5 0.9887 0.8042 0.6172 0.4164 0.1256 0.0207 0.0016 0.0000 6 0.9976 0.9133 0.7858 0.6080 0.2500 0.0577 0.0065 0.0003 7 0.9996 0.9679 0.8982 0.7723 0.4159 0.1316 0.0210 0.0013 0.0000 8 0.9999 0.9900 0.9591 0.8867 0.5956 0.2517 0.0565 0.0051 0.0001 1.0000 0.9974 0.9861 0.9520 0.7553 0.4119 0.1275 0.0171 0.0006 9 0.9994 0.9961 0.9829 0.8725 0.5881 0.2447 0.0480 0.0026 0.0000 0.9999 0.9991 0.9949 0.9435 0.7483 0.4044 0.1133 0.0100 0.0001 1.0000 0.9998 0.9987 0.9790 0.8684 0.5841 0.2277 0.0321 0.0004 1.0000 0.9997 0.9935 0.9423 0.7500 0.3920 0.0867 0.0024 1.0000 0.9984 0.9793 0.8744 0.5836 0.1958 0.0113 0.9997 0.9941 0.9490 0.7625 0.3704 0.0432 1.0000 0.9987 0.9840 0.8929 0.5886 0.1330 0.9998 0.9964 0.9645 0.7939 0.3231 1.0000 0.9995 0.9924 0.9308 0.6083 1.0000 0.9992 0.9885 0.8784 20 1.0000 1.0000 1.0000 nr 0.10 0.20 0.25 0.30 0.40 0.50 0.60 Dr 0.70 0.80 0.90 P

A marketing expert for a pasta-making company believes that 50% of pasta lovers prefer lasagna. If 13 out of 20 pasta lovers choose lasagna over other pastas, what can be concluded about the expert's claim? Use a 0.10 level of significance. Click here to view the binomial probability sums table for n=17 and n=18. Click here to view the binomial probability sums table for n=19 and n=20. Let a success be a pasta lover that chooses lasagna over other pastas. Identify the null and alternative hypotheses. A. Ho: p=0.5 H₁: p 0.5 D. Ho: p>0.5 H₁: p=0.5 The test statistic is a binomial variable X with p = ☐ and n = [ (Type integers or decimals. Do not round.) ○ B. Ho: p = 0.5 H₁: p>0.5 ○ E. Ho: p=0.5 H₁: p<0.5 ○ C. Ho: p<0.5 H₁ p=0.5 ○ F. Ho: p# 0.5 H₁: p=0.5 Binomial Probability Sums b(x;n,p) 0 Binomial Probability Sums b(z;n,p) P 12 " 0.10 2 3 0.20 0.25 0.30 0.40 0.50 17 0 0.1668 0.0225 0.0075 0.0023 0.0002 0.0000 1 0.4818 0.1182 0.0501 0.0193 0.0021 0.0001 0.7618 0.3096 0.1637 0.0774 0.0123 0.0012 0.9174 0.5489 0.3530 0.2019 0.0464 0.0064 0.60 0.70 0.80 0.90 19 0 0.0000 0.10 0.20 0.25 0.1351 0.0144 0.0042 0.0011 0.0001 1 0.4203 0.0829 0.0310 0.0104 0.0008 0.0000 P 0.30 0.40 0.50 0.60 0.70 0.80 0.90 0.0001 2 0.7054 0.2369 0.1113 0.0462 0.0055 0.0004 0.0000 0.0005 0.0000 3 0.8850 0.4551 0.2631 0.1332 0.0230 0.0022 0.0001 4 0.9779 0.7582 0.5739 0.3887 0.1260 0.0245 0.0025 0.0001 5 0.9953 0.8943 0.7653 0.5968 0.2639 0.0717 6 0.9992 0.9623 0.8929 0.7752 10 11 12 13 14 15 16 17 0.4478 7 0.9999 0.9891 0.9598 0.8954 0.6405 8 1.0000 0.9974 0.9876 0.9597 0.8011 9 0.9995 0.9969 0.9873 0.9081 0.6855 0.9999 0.9994 0.9968 0.9652 0.8338 0.5522 1.0000 0.9999 0.9993 0.9894 0.9283 0.7361 0.4032 0.1057 0.0047 1.0000 0.9999 0.9975 0.9755 0.8740 0.6113 0.2418 0.0221 1.0000 0.9995 0.9936 0.9536 0.7981 0.4511 0.0826 0.9999 0.9988 0.9877 0.9226 0.6904 0.2382 1.0000 0.9999 0.9979 0.9807 0.8818 0.5182 1.0000 0.9998 0.9977 0.9775 0.8332 1.0000 1.0000 1.0000 1.0000 18 0 0.1501 0.0180 0.0056 0.0016 0.0001 0.0000 1 0.4503 0.0991 0.0395 0.0142 0.0013 0.0001 2 0.7338 0.2713 0.1353 0.0600 0.0082 0.0007 0.0000 3 0.9018 0.5010 0.3057 0.1646 0.0328 0.0038 0.0002 4 0.9718 0.7164 0.5187 0.3327 0.0942 0.0154 0.0013 0.0000 5 0.9936 0.8671 0.7175 0.5344 0.2088 0.0481 0.0058 0.0003 6 0.9988 0.9487 0.8610 0.7217 0.3743 0.1189 0.0203 0.0014 0.0000 7 0.9998 0.9837 0.9431 0.8593 0.5634 0.2403 0.0576 0.0061 0.0002 8 1.0000 0.9957 0.9807 0.9404 0.7368 0.4073 0.1347 0.0210 0.0009 9 0.9991 0.9946 0.9790 0.8653 0.5927 0.2632 0.0596 0.0043 0.0000 0.9998 0.9988 0.9939 0.9424 0.7597 0.4366 0.1407 0.0163 0.0002 1.0000 0.9998 0.9986 0.9797 0.8811 0.6257 0.2783 0.0513 0.0012 1.0000 0.9997 0.9942 0.9519 0.7912 0.4656 0.1329 0.0064 1.0000 0.9987 0.9846 0.9058 0.6673 0.2836 0.0282 0.9998 0.9962 0.9672 0.8354 0.4990 0.0982 1.0000 0.9993 0.9918 0.9400 0.7287 0.2662 0.9999 0.9987 0.9858 0.9009 0.5497 1.0000 0.9999 0.9984 0.9820 0.8499 1.0000 1.0000 1.0000 1.0000 0.0106 0.0007 0.0000 0.1662 0.0348 0.0032 0.0001 0.3145 0.0919 0.0127 0.0005 0.5000 0.1989 0.0403 0.0026 0.0000 0.3595 4 0.9648 0.6733 0.4654 0.2822 0.0696 0.0096 0.0006 0.0000 5 0.9914 0.8369 0.6678 0.4739 0.1629 0.0318 0.0031 0.0001 0.1046 0.0109 0.0001 0.2248 0.0377 0.0008 10 11 12 13 14 15 16 17 18 19 6 0.9983 0.9324 0.8251 0.6655 0.3081 0.0835 0.0116 0.0006 7 9 0.9997 0.9767 0.9225 0.8180 0.4878 0.1796 0.0352 0.0028 0.0000 8 1.0000 0.9933 0.9713 0.9161 0.6675 0.3238 0.0885 0.0105 0.0003 0.9984 0.9911 0.9674 0.8139 0.5000 0.1861 0.0326 0.0016 0.9997 0.9977 0.9895 0.9115 0.6762 0.3325 0.0839 0.0067 0.0000 1.0000 0.9995 0.9972 0.9648 0.8204 0.5122 0.1820 0.0233 0.0003 0.9999 0.9994 0.9884 0.9165 0.6919 0.3345 0.0676 0.0017 1.0000 0.9999 0.9969 0.9682 0.8371 0.5261 0.1631 0.0086 1.0000 0.9994 0.9904 0.9304 0.7178 0.3267 0.0352 0.9999 0.9978 0.9770 0.8668 0.5449 0.1150 1.0000 0.9996 0.9945 0.9538 0.7631 0.2946 1.0000 0.9992 0.9896 0.9171 0.5797 0.9999 0.9989 0.9856 0.8649 1.0000 1.0000 1.0000 1.0000 20 0 0.1216 0.0115 0.0032 0.0008 0.0000 1 0.3917 0.0692 0.0243 0.0076 0.0005 0.0000 2 0.6769 0.2061 0.0913 0.0355 0.0036 0.0002 10 11 12 13 14 15 | - | - 10 1 11 12 1 13 16 14 17 15 18 16 " 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 e 17 18 P с ¡A 19 3 0.8670 0.4114 0.2252 0.1071 0.0160 0.0013 0.0000 4 0.9568 0.6296 0.4148 0.2375 0.0510 0.0059 0.0003 5 0.9887 0.8042 0.6172 0.4164 0.1256 0.0207 0.0016 0.0000 6 0.9976 0.9133 0.7858 0.6080 0.2500 0.0577 0.0065 0.0003 7 0.9996 0.9679 0.8982 0.7723 0.4159 0.1316 0.0210 0.0013 0.0000 8 0.9999 0.9900 0.9591 0.8867 0.5956 0.2517 0.0565 0.0051 0.0001 1.0000 0.9974 0.9861 0.9520 0.7553 0.4119 0.1275 0.0171 0.0006 9 0.9994 0.9961 0.9829 0.8725 0.5881 0.2447 0.0480 0.0026 0.0000 0.9999 0.9991 0.9949 0.9435 0.7483 0.4044 0.1133 0.0100 0.0001 1.0000 0.9998 0.9987 0.9790 0.8684 0.5841 0.2277 0.0321 0.0004 1.0000 0.9997 0.9935 0.9423 0.7500 0.3920 0.0867 0.0024 1.0000 0.9984 0.9793 0.8744 0.5836 0.1958 0.0113 0.9997 0.9941 0.9490 0.7625 0.3704 0.0432 1.0000 0.9987 0.9840 0.8929 0.5886 0.1330 0.9998 0.9964 0.9645 0.7939 0.3231 1.0000 0.9995 0.9924 0.9308 0.6083 1.0000 0.9992 0.9885 0.8784 20 1.0000 1.0000 1.0000 nr 0.10 0.20 0.25 0.30 0.40 0.50 0.60 Dr 0.70 0.80 0.90 P

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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