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 OC. Ho: p<0.5 H₁: p=0.5 ○ F. Ho: p 0.5 H₁: p=0.5

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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
OB. Ho: p = 0.5
H₁: p>0.5
○ D. 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: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 OB. Ho: p = 0.5 H₁: p>0.5 ○ D. 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
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
20
nr 0.10
0.20
0.25
0.30
0.40
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
0.9995 0.9924 0.9308 0.6083
1.0000 0.9992 0.9885 0.8784
1.0000 1.0000 1.0000
0.70 0.80 0.90
1.0000
0.50
0.60
Dr
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 20 nr 0.10 0.20 0.25 0.30 0.40 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 0.9995 0.9924 0.9308 0.6083 1.0000 0.9992 0.9885 0.8784 1.0000 1.0000 1.0000 0.70 0.80 0.90 1.0000 0.50 0.60 Dr P
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman