Binomial Probability Sums b(x;n,p) Binomial Probability Sums b(z;n,p) P P n 76 " 0.10 17 0 0.1668 0.20 0.0225 0.25 0.30 0.0075 0.0023 0.0002 0.40 0.50 0.0000 0.60 0.70 0.80 0.90 T 0.10 19 0 0.1351 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 0.0144 0.0042 0.0011 0.0001 1 0.4203 0.0829 0.0310 0.0104 0.0008 0.0000 1 0.4818 0.1182 2 0.7618 0.3096 3 0.9174 0.5489 4 0.9779 5 0.9953 6 0.3530 0.7582 0.5739 0.8943 0.7653 0.9992 0.9623 0.8929 7 0.9999 0.9891 0.9598 9 10 11 12 13 14 15 16 17 0.0501 0.0193 0.0021 0.0001 0.0000 0.1637 0.0774 0.0123 0.0012 0.0001 0.2019 0.0464 0.0064 0.0005 0.0000 0.3887 0.1260 0.0245 0.0025 0.0001 0.5968 0.2639 0.0717 0.0106 0.7752 0.4478 0.1662 0.0348 0.8954 0.6405 0.3145 0.0919 0.0127 8 1.0000 0.9974 0.9876 0.9597 0.8011 0.5000 0.1989 0.0403 0.9969 0.9873 0.9081 0.6855 0.3595 0.9995 0.1046 0.9999 0.9994 0.9968 0.9652 0.8338 0.5522 0.2248 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 2 0.7054 0.2369 0.1113 0.0462 3 0.8850 0.0055 0.0004 0.0000 0.4551 0.2631 0.1332 0.0230 0.0022 0.0001 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 0.0007 0.0000 0.0032 0.0001 0.0005 6 7 0.9983 0.9324 0.8251 0.6655 0.3081 0.0835 0.0116 0.0006 0.9997 0.9767 0.9225 0.8180 0.4878 0.1796 0.0352 0.0028 0.0000 8 0.0026 0.0000 9 0.0109 0.0001 10 11 0.0377 0.0008 12 13 14 15 16 17 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 0.9115 0.0000 0.9977 0.9895 0.6762 0.3325 0.0839 0.0067 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 18 1.0000 19 18 0 0.1501 2 3 0.0180 0.0056 1 0.4503 0.0991 0.0395 0.7338 0.2713 0.9018 0.5010 4 0.9718 0.7164 5 0.9936 0.8671 0.0016 0.0001 0.0000 0.0142 0.0013 0.0001 0.1353 0.0600 0.0082 0.0007 0.0000 0.3057 0.0038 0.0328 0.0002 0.1646 0.5187 0.3327 0.0942 0.0154 0.0013 0.0000 0.7175 20 0 0.1216 0.0115 0.0032 0.0008 0.0000 0.3917 0.0692 0.0243 0.0076 0.0005 0.0000 0.9999 0.9989 0.9856 0.8649 1.0000 1.0000 1.0000 1.0000 0.5344 0.2088 0.0481 0.0058 0.0003 6 9 10 11 12 13 14 15 1.0000 0.9997 0.9942 0.9519 1.0000 0.9987 0.9846 0.9962 0.9998 1.0000 0.9993 16 17 18 " 0.10 0.20 0.25 0.30 0.40 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 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 0.7912 0.4656 0.1329 0.0064 0.9058 0.6673 0.2836 0.0282 0.8354 0.9672 0.0982 0.4990 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 0.60 0.70 0.80 0.90 0.50 C3 &' P 1 2 4 5 6 8 0.6769 0.2061 0.0913 0.0355 0.0036 0.0002 3 0.8670 0.2252 0.4114 0.1071 0.0160 0.0013 0.9568 0.6296 0.4148 0.2375 0.0510 0.0059 0.0003 0.9887 0.8042 0.6172 0.4164 0.9976 0.9133 0.7858 0.6080 7 0.9996 0.9679 0.8982 0.7723 0.9999 0.9900 0.9591 0.8867 0.5956 0.2517 0.0565 0.0051 0.0001 0.4159 0.1316 0.0210 0.0013 0.0000 9 1.0000 10 11 12 13 14 15 16 17 18 19 20 1.0000 1.0000 1.0000 n " 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 P 0.0000 0.1256 0.0207 0.0016 0.0000 0.2500 0.0577 0.0065 0.0003 0.9974 0.9861 0.9520 0.7553 0.4119 0.1275 0.0171 0.0006 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 A marketing expert for a pasta-making company believes that 30% of pasta lovers prefer lasagna. If 7 out of 20 pasta lovers choose lasagna over other pastas, what can be concluded about the expert's claim? Use a 0.05 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<0.3 H₁: p=0.3 ○ D. Ho: p=0.3 H₁: p<0.3 The test statistic is a binomial variable X with p = ☐ and n = [ (Type integers or decimals. Do not round.) Find the P-value. (Round to three decimal places as needed.) What is the appropriate conclusion for this test? OB. Ho: p > 0.3 H₁: p=0.3 O E. Ho: p# 0.3 H₁: p=0.3 ○ A. Do not reject Ho and conclude that there is not sufficient evidence that the percentage of pasta lovers that prefer lasagna is not 30%. ○ B. Reject Ho and conclude that there is sufficient evidence that the percentage of pasta lovers that prefer lasagna is not 30%. ○ C. Reject Ho and conclude that there is not sufficient evidence that the percentage of pasta lovers that prefer lasagna is not 30%. ○ D. Do not reject Ho and conclude that there is sufficient evidence that the percentage of pasta lovers that prefer lasagna is not 30%. ○ C. Ho p=0.3 H₁ p 0.3 O F. Ho: p = 0.3 H₁: p>0.3