Q2. A survey is made asking people that they dinned out in the New Year Eve. Males and female are asked if they remember the name of restaurant that visited in the last new year eve. The reason of the survey to find out if there is a relation between the person's ability to recall and the gender. Use the significance level a = 0.025 to make a hypothesis test. Female Male Can Recall 52 44 Can Not Recall 23 40

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Q2. A survey is made asking people that they dinned out in the New Year Eve. Males and
female are asked if they remember the name of restaurant that visited in the last new year eve.
The reason of the survey to find out if there is a relation between the person's ability to recall
and the gender. Use the significance level a = 0.025 to make a hypothesis test.
Female Male
Can Recall
52
44
Can Not Recall
23
40
APPENDIX G
Values of X²
df=5
for Selected
Probabilities
f(x²)
x²
x² = 9.2363
PROBABILITIES (OR AREAS UNDER CHI-SQUARE DISTRIBUTION CURVE
ABOVE GIVEN CHI-SQUARE VALUES)
0.90 0.10 0.05 0.025 0.01
Values of Chi-Squared
0.995
0.99
0.975
0.95
0.005
df
1 0.0000 0.0002 0.0010
2 0.0100 0.0201 0.0506
5
6
7 0.9893 1.2390
8
0.0039 0.0158 2.7055 3.8415 5.0239 6.6349 7.8794
0.1026 0.2107 4.6052 5.9915 7.3778 9.2104 10.5965
3 0.0717 0.1148 0.2158 0.3518 0.5844 6.2514 7.8147 9.3484 11.3449 12.8381
4 0.2070 0.2971 0.4844 0.7107 1.0636 7.7794 9.4877 11.1433 13.2767 14.8602
0.4118 0.5543 0.8312 1.1455 1.6103 9.2363 11.0705 12.8325 15.0863 16.7496
0.6757 0.8721 1.2373 1.6354 2.2041 10.6446 12.5916 14.4494 16.8119 18.5475
1.6899 2.1673 2.8331 12.0170 14.0671 16.0128 18.4753 20.2777
1.3444 1.6465 2.1797 2.7326 3.4895 13.3616 15.5073 17.5345 20.0902 21.9549
1.7349 2.0879 2.7004 3.3251 4.1682 14.6837 16.9190 19.0228 21.6660 23.5893
2.1558
2.5582 3.2470 3.9403 4.8652 15.9872
2.6032 3.0535 3.8157 4.5748 5.5778 17.2750 19.6752 21.9200 24.7250 26.7569
12 3.0738 3.5706 4.4038 5.2260 6.3038 18.5493 21.0261 23.3367 26.2170 28.2997
13 3.5650 4.1069 5.0087 5.8919 7.0415 19.8119 22.3620 24.7356 27.6882 29.8193
14 4.0747 4.6604 5.6287 6.5706 7.7895 21.0641 23.6848 26.1189 29.1412 31.3194
15 4.6009 5.2294 6.2621 7.2609 8.5468 22.3071 24.9958 27.4884 30.5780 32.8015
16
7.9616 9.3122 23.5418 26.2962 28.8453 31.9999 34.2671
8.6718 10.0852 24.7690 27.5871 30.1910 33.4087 35.7184
9
10
18.3070 20.4832 23.2093 25.1881
11
5.1422 5.8122 6.9077
17
5.6973 6.4077 7.5642
18 6.2648 7.0149 8.2307 9.3904 10.8649 25.9894 28.8693 31.5264 34.8052 37.1564
19 6.8439 7.6327 8.9065 10.1170 11.6509 27.2036 30.1435 32.8523 36.1908 38.5821
20 7.4338 8.2604 9.5908 10.8508 12.4426 28.4120 31.4104 34.1696 37.5663 39.9969
21 8.0336 8.8972 10.2829 11.5913 13.2396 29.6151 32.6706 35.4789 38.9322 41.4009
22 8.6427 9.5425 10.9823 12.3380 14.0415 30.8133 33.9245 36.7807 40.2894 42.7957
23 9.2604 10.1957 11.6885 13.0905 14.8480 32.0069 35.1725 38.0756 41.6383 44.1814
24 9.8862 10.8563 12.4011 13.8484 15.6587 33.1962 36.4150 39.3641 42.9798 45.5584
25 10.5196 11.5240 13.1197 14.6114 16.4734 34.3816 37.6525 40.6465 44.3140 46.9280
26 11.1602 12.1982 13.8439 15.3792 17.2919 35.5632 38.8851 41.9231 45.6416 48.2898
27 11.8077 12.8785 14.5734 16.1514 18.1139 36.7412 40.1133 43.1945 46.9628 49.6450
28 12.4613 13.5647 15.3079 16.9279 18.9392 37.9159 41.3372 44.4608 48.2782 50.9936
29 13.1211 14.2564 16.0471 17.7084 19.7677 39.0875 42.5569 45.7223 49.5878 52.3355
30 13.7867 14.9535 16.7908 18.4927 20.5992 40.2560 43.7730 46.9792 50.8922 53.6719
0.10
Transcribed Image Text:Q2. A survey is made asking people that they dinned out in the New Year Eve. Males and female are asked if they remember the name of restaurant that visited in the last new year eve. The reason of the survey to find out if there is a relation between the person's ability to recall and the gender. Use the significance level a = 0.025 to make a hypothesis test. Female Male Can Recall 52 44 Can Not Recall 23 40 APPENDIX G Values of X² df=5 for Selected Probabilities f(x²) x² x² = 9.2363 PROBABILITIES (OR AREAS UNDER CHI-SQUARE DISTRIBUTION CURVE ABOVE GIVEN CHI-SQUARE VALUES) 0.90 0.10 0.05 0.025 0.01 Values of Chi-Squared 0.995 0.99 0.975 0.95 0.005 df 1 0.0000 0.0002 0.0010 2 0.0100 0.0201 0.0506 5 6 7 0.9893 1.2390 8 0.0039 0.0158 2.7055 3.8415 5.0239 6.6349 7.8794 0.1026 0.2107 4.6052 5.9915 7.3778 9.2104 10.5965 3 0.0717 0.1148 0.2158 0.3518 0.5844 6.2514 7.8147 9.3484 11.3449 12.8381 4 0.2070 0.2971 0.4844 0.7107 1.0636 7.7794 9.4877 11.1433 13.2767 14.8602 0.4118 0.5543 0.8312 1.1455 1.6103 9.2363 11.0705 12.8325 15.0863 16.7496 0.6757 0.8721 1.2373 1.6354 2.2041 10.6446 12.5916 14.4494 16.8119 18.5475 1.6899 2.1673 2.8331 12.0170 14.0671 16.0128 18.4753 20.2777 1.3444 1.6465 2.1797 2.7326 3.4895 13.3616 15.5073 17.5345 20.0902 21.9549 1.7349 2.0879 2.7004 3.3251 4.1682 14.6837 16.9190 19.0228 21.6660 23.5893 2.1558 2.5582 3.2470 3.9403 4.8652 15.9872 2.6032 3.0535 3.8157 4.5748 5.5778 17.2750 19.6752 21.9200 24.7250 26.7569 12 3.0738 3.5706 4.4038 5.2260 6.3038 18.5493 21.0261 23.3367 26.2170 28.2997 13 3.5650 4.1069 5.0087 5.8919 7.0415 19.8119 22.3620 24.7356 27.6882 29.8193 14 4.0747 4.6604 5.6287 6.5706 7.7895 21.0641 23.6848 26.1189 29.1412 31.3194 15 4.6009 5.2294 6.2621 7.2609 8.5468 22.3071 24.9958 27.4884 30.5780 32.8015 16 7.9616 9.3122 23.5418 26.2962 28.8453 31.9999 34.2671 8.6718 10.0852 24.7690 27.5871 30.1910 33.4087 35.7184 9 10 18.3070 20.4832 23.2093 25.1881 11 5.1422 5.8122 6.9077 17 5.6973 6.4077 7.5642 18 6.2648 7.0149 8.2307 9.3904 10.8649 25.9894 28.8693 31.5264 34.8052 37.1564 19 6.8439 7.6327 8.9065 10.1170 11.6509 27.2036 30.1435 32.8523 36.1908 38.5821 20 7.4338 8.2604 9.5908 10.8508 12.4426 28.4120 31.4104 34.1696 37.5663 39.9969 21 8.0336 8.8972 10.2829 11.5913 13.2396 29.6151 32.6706 35.4789 38.9322 41.4009 22 8.6427 9.5425 10.9823 12.3380 14.0415 30.8133 33.9245 36.7807 40.2894 42.7957 23 9.2604 10.1957 11.6885 13.0905 14.8480 32.0069 35.1725 38.0756 41.6383 44.1814 24 9.8862 10.8563 12.4011 13.8484 15.6587 33.1962 36.4150 39.3641 42.9798 45.5584 25 10.5196 11.5240 13.1197 14.6114 16.4734 34.3816 37.6525 40.6465 44.3140 46.9280 26 11.1602 12.1982 13.8439 15.3792 17.2919 35.5632 38.8851 41.9231 45.6416 48.2898 27 11.8077 12.8785 14.5734 16.1514 18.1139 36.7412 40.1133 43.1945 46.9628 49.6450 28 12.4613 13.5647 15.3079 16.9279 18.9392 37.9159 41.3372 44.4608 48.2782 50.9936 29 13.1211 14.2564 16.0471 17.7084 19.7677 39.0875 42.5569 45.7223 49.5878 52.3355 30 13.7867 14.9535 16.7908 18.4927 20.5992 40.2560 43.7730 46.9792 50.8922 53.6719 0.10
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