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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 OD. Ho: p>0.5 H₁: p=0.5 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 OF. Ho: p# 0.5 H₁: p=0.5 The test statistic is a binomial variable X with p = 0.5 and n = 20. (Type integers or decimals. Do not round.) Find the P-value. (Round to three decimal places as needed.)

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 OD. Ho: p>0.5 H₁: p=0.5 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 OF. Ho: p# 0.5 H₁: p=0.5 The test statistic is a binomial variable X with p = 0.5 and n = 20. (Type integers or decimals. Do not round.) Find the P-value. (Round to three decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 9E
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I need help finding the p-value please

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 ○ 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 The test statistic is a binomial variable X with p = 0.5 and n = 20 (Type integers or decimals. Do not round.) Find the P-value. (Round to three decimal places as needed.)
Transcribed Image Text: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 ○ 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 The test statistic is a binomial variable X with p = 0.5 and n = 20 (Type integers or decimals. Do not round.) Find the P-value. (Round to three decimal places as needed.)
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
Transcribed Image Text: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
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