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1. A total of 3759 individual were interviewed in a public opinion survey on a political proposal. Of them 1872 were men and the rest were women. A total of 2257 individuals were in favour of the proposal and 917 were opposed to it. A total of 243 men were undecided and 442 women were opposed to it. Do you justify or contradict the hypothesis that there is no association between sex and attitude at 5% level of significance?

1. A total of 3759 individual were interviewed in a public opinion survey on a political proposal. Of them 1872 were men and the rest were women. A total of 2257 individuals were in favour of the proposal and 917 were opposed to it. A total of 243 men were undecided and 442 women were opposed to it. Do you justify or contradict the hypothesis that there is no association between sex and attitude at 5% level of significance?

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 2RP: A Bitter Dispute With the publication of Ars Magna, a dispute intensified between Jerome Cardan and...
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8:32 (313 kB) Chi square test... Q Chi-Square Test 2. 1. A total of 3759 individual were interviewed in a public opinion survey on a political proposal. Of them 1872 were men and the rest were women. A total of 2257 individuals were in favour of the proposal and 917 were opposed to it. A total of 243 men were undecided and 442 women were opposed to it. Do you justify or contradict the hypothesis that there is no association between sex and attitude at 5% level of significance? 3. 4. A sample of 400 students of undergraduate and 400 students of post- graduate classes was taken to know their opinion about autonomous colleges. 290 of the undergraduate and 310 of the postgraduate students favoured the autonomous status. Present these facts in the form of a table and test at 5% level of significance, that the opinion regarding autonomous status of colleges is independent of the level of classes of students. Given the following contingency table for hair colour and eye cow. Find the value of x. Is there good association between the two? Eye colour Blue . Grey Brown Total X Y Total Fair 15 PDF Toolkit 20 25 60 Below average 86 40 126 ||| Hair colour Brown 5 10 15 30 Two researchers adopted different sampling techniques while investi- gating some group of students to find the number of students falling into different intelligence level. The results are as follows: Researchers Average Black 20 20 20 60 33 93 Share 4G 4 QLTE2 19 ll 98% 98% Total 40 50 60 150 Above average 44 25 69 O Genius IMPORT 10 2 12 " Would you say that the sampling techniques adopted by the two research- ers are significantly different? 5. 4 coins are tossed 160 times and the following results were obtained: No. of heads 0 1 2 3 4 Observed frequencies 17 52 54 31 6 Under the assumption that coins are balanced, find the expected frequencies of 0, 1, 2, 3 or 4 heads, and test the goodness of fit (a = 0.05). Total 200 100. 300 [Ans.: Expected frequencies: 10, 40, 60, 40, 10, the data do not follow binomial distribution] 18 Save Open with Prin
Transcribed Image Text:8:32 (313 kB) Chi square test... Q Chi-Square Test 2. 1. A total of 3759 individual were interviewed in a public opinion survey on a political proposal. Of them 1872 were men and the rest were women. A total of 2257 individuals were in favour of the proposal and 917 were opposed to it. A total of 243 men were undecided and 442 women were opposed to it. Do you justify or contradict the hypothesis that there is no association between sex and attitude at 5% level of significance? 3. 4. A sample of 400 students of undergraduate and 400 students of post- graduate classes was taken to know their opinion about autonomous colleges. 290 of the undergraduate and 310 of the postgraduate students favoured the autonomous status. Present these facts in the form of a table and test at 5% level of significance, that the opinion regarding autonomous status of colleges is independent of the level of classes of students. Given the following contingency table for hair colour and eye cow. Find the value of x. Is there good association between the two? Eye colour Blue . Grey Brown Total X Y Total Fair 15 PDF Toolkit 20 25 60 Below average 86 40 126 ||| Hair colour Brown 5 10 15 30 Two researchers adopted different sampling techniques while investi- gating some group of students to find the number of students falling into different intelligence level. The results are as follows: Researchers Average Black 20 20 20 60 33 93 Share 4G 4 QLTE2 19 ll 98% 98% Total 40 50 60 150 Above average 44 25 69 O Genius IMPORT 10 2 12 " Would you say that the sampling techniques adopted by the two research- ers are significantly different? 5. 4 coins are tossed 160 times and the following results were obtained: No. of heads 0 1 2 3 4 Observed frequencies 17 52 54 31 6 Under the assumption that coins are balanced, find the expected frequencies of 0, 1, 2, 3 or 4 heads, and test the goodness of fit (a = 0.05). Total 200 100. 300 [Ans.: Expected frequencies: 10, 40, 60, 40, 10, the data do not follow binomial distribution] 18 Save Open with Prin
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