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

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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
52
44
Can Recall
Can Not Recall
23
40
APPENDIX G
859
APPENDIX G
Values of X
for Selected
Probabilities
fo2t
x
x²=9.2363
PROBABILITIES (OR AREAS UNDER CHI-SQUARE DISTRIBUTION CURVE
ABOVE GIVEN CHI-SQUARE VALUES)
0.95 0.90 0.10 0.05 0.025 0.01 0.005
Values of Chi-Squared
0.995
0.99
0975
of
0.0158 27055
1 0.0000 0.0002 00010 0.0039 0.0158 27055 38415 50239 6.6349
7.8794
2 0.0100 0.0201 0.0506 0.1026 02107 46052 59915 7.3778 9.2104 10.5965
3 0.0717 0.1148 02158 0.3538 0.5844 6.2514 7.8147 9.3484 11.3449 12.8381
4 0.2070 0.2971 0.4844 0.7107 10636 7.7794 9.4877 11.1433 13.2767 14.8602
5 04118 0.5543 08312 1.1455 1.6103 92363110705 128325 15.0863 16.7496
6 06757 0.8721 1.2371 1.6354 2.3041 10.6446 12.5916 14.4494 168119 18.5475
7 0.9891 1.2390 16899 2.1673 2.8331 12.0170 14.0671 16.0128 18.4753 20.2777
8 13444 16465 21797 2.7326 3.4895 13.3616 15.5073 17.5345 20.0902 21.9549
9 1.7349 2.0879 2.7004 3.3251 4.1682 14.6837 16.9190 19.0228 21.6660 23.3893
10 2.1358 2.5582 3.2470 3.9403 4.8652 1559872 18 3070 20 4832 23.2093 25.1881
11 26032 3.0535 38157 45748 55778 17:2750 19.6752 21.9200 247250 26.7569
12 3.0738 3.5706 4.4038 5.2260 6.3038 18.5493 21.0261 23.3367 26.2170 28.2997
13 3.3650 4.1069 5.0087 5.8919 7,0415 19.8119 22.3620 24.7356 27.6882 29.8193
14 4.0747 4,6601 5.6287 6.5706 7.7895 21.0641 23.6848 26.1189 29.1412 31.3194
15 46009 5.2294 62621 7.2609 8.5468 22.3071 24.9958 27.4884 305780 32.8015
16 5.1422 5.8122 6.9077 7.9616 93122 23.5418 26.2962 28.8453 31.9999 34.2671
17 5.6973 6.4077 7.5642 8.6718 10.0852 24.7690 27.5871 30.1910 31.4087 35.7184
18 6.2648 7.0145 82307 9.3901 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 32.8325 36.1908 38.3821
20 74338 8.2604 9.5908 10.8508 12.4426 284120 31.4104 34.1696 37 5663 39.9969
21 8.0336 8.8972 10.2829 115913 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 92604 10.1957 11.6885 13.0905 14.8480 32.0069 35.1725 380756 41.6383 44.1814
24 9.8862 10.8563 12.4011 13.8484 15.6587 33.1962 364150 39.3641 429798 45.5584
25 10.5196 115240 13.1197 14.6114 16.4734 34.3816 37.6525 40.6465 443140 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 14.3734 16.1514 18.1139 36.7412 40.1133 43.1915 46.9628 49.6450
28 12.4613 13.5647 15.3079 16.9279 18.9392 37.9159 41.3372 44.4608 48.2782 5$0.9936
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 52 44 Can Recall Can Not Recall 23 40 APPENDIX G 859 APPENDIX G Values of X for Selected Probabilities fo2t x x²=9.2363 PROBABILITIES (OR AREAS UNDER CHI-SQUARE DISTRIBUTION CURVE ABOVE GIVEN CHI-SQUARE VALUES) 0.95 0.90 0.10 0.05 0.025 0.01 0.005 Values of Chi-Squared 0.995 0.99 0975 of 0.0158 27055 1 0.0000 0.0002 00010 0.0039 0.0158 27055 38415 50239 6.6349 7.8794 2 0.0100 0.0201 0.0506 0.1026 02107 46052 59915 7.3778 9.2104 10.5965 3 0.0717 0.1148 02158 0.3538 0.5844 6.2514 7.8147 9.3484 11.3449 12.8381 4 0.2070 0.2971 0.4844 0.7107 10636 7.7794 9.4877 11.1433 13.2767 14.8602 5 04118 0.5543 08312 1.1455 1.6103 92363110705 128325 15.0863 16.7496 6 06757 0.8721 1.2371 1.6354 2.3041 10.6446 12.5916 14.4494 168119 18.5475 7 0.9891 1.2390 16899 2.1673 2.8331 12.0170 14.0671 16.0128 18.4753 20.2777 8 13444 16465 21797 2.7326 3.4895 13.3616 15.5073 17.5345 20.0902 21.9549 9 1.7349 2.0879 2.7004 3.3251 4.1682 14.6837 16.9190 19.0228 21.6660 23.3893 10 2.1358 2.5582 3.2470 3.9403 4.8652 1559872 18 3070 20 4832 23.2093 25.1881 11 26032 3.0535 38157 45748 55778 17:2750 19.6752 21.9200 247250 26.7569 12 3.0738 3.5706 4.4038 5.2260 6.3038 18.5493 21.0261 23.3367 26.2170 28.2997 13 3.3650 4.1069 5.0087 5.8919 7,0415 19.8119 22.3620 24.7356 27.6882 29.8193 14 4.0747 4,6601 5.6287 6.5706 7.7895 21.0641 23.6848 26.1189 29.1412 31.3194 15 46009 5.2294 62621 7.2609 8.5468 22.3071 24.9958 27.4884 305780 32.8015 16 5.1422 5.8122 6.9077 7.9616 93122 23.5418 26.2962 28.8453 31.9999 34.2671 17 5.6973 6.4077 7.5642 8.6718 10.0852 24.7690 27.5871 30.1910 31.4087 35.7184 18 6.2648 7.0145 82307 9.3901 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 32.8325 36.1908 38.3821 20 74338 8.2604 9.5908 10.8508 12.4426 284120 31.4104 34.1696 37 5663 39.9969 21 8.0336 8.8972 10.2829 115913 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 92604 10.1957 11.6885 13.0905 14.8480 32.0069 35.1725 380756 41.6383 44.1814 24 9.8862 10.8563 12.4011 13.8484 15.6587 33.1962 364150 39.3641 429798 45.5584 25 10.5196 115240 13.1197 14.6114 16.4734 34.3816 37.6525 40.6465 443140 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 14.3734 16.1514 18.1139 36.7412 40.1133 43.1915 46.9628 49.6450 28 12.4613 13.5647 15.3079 16.9279 18.9392 37.9159 41.3372 44.4608 48.2782 5$0.9936 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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