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 OB. Ho: p=0.5 H₁: p>0.5 ○ E. Ho: p=0.5 H₁: p<0.5 The test statistic is a binomial variable X with p = and n = [ OD. Ho: p > 0.5 H₁: p=0.5 OC. Ho: p<0.5 H₁: p=0.5 OF. Ho: p*0.5 H₁: p=0.5 (Type integers or decimals. Do not round.)
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 OB. Ho: p=0.5 H₁: p>0.5 ○ E. Ho: p=0.5 H₁: p<0.5 The test statistic is a binomial variable X with p = and n = [ OD. Ho: p > 0.5 H₁: p=0.5 OC. Ho: p<0.5 H₁: p=0.5 OF. Ho: p*0.5 H₁: p=0.5 (Type integers or decimals. Do not round.)
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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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
The test statistic is a binomial variable X with p = ☐ and n = [
(Type integers or decimals. Do not round.)
OB. 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
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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