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
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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