Question

1) A newspaper survey asked adult whether they felt genetically modified food was safe to eat. The results were 35% of them felt it was safe, 52% felt it was not safe, and 13% had no opinion. A random sample of 120 adults was asked the same question at a local county fair. The results were 40 people felt that genetically modified food was safe, 60 felt that it was not safe, and 20 had no opinion. At the a=0.01 level of significance, is there sufficient evidence to conclude that the results differ from those reported in the survey?

Answer 1

were 1 Given that A newspaper survey asked adult whether they felt genetically modified food was safe to eat. The results From the calculation table- observed specified Expected lobs-exp) frequency proportion frequency (40-425/42 Felt safe = 0.09524 not safe 0.09231 = 6244 12 080-13 124163 given information: exp Necessary Decision 12040.35 = 42 0.35 40 120x0.52 0.52 60 0.13 20 10.. = 15.6 No opinion Sumol.42858 Sume 120 Hypothesis: Ho: Pfelt sate = 0.35 Phot safe = 0.52 and Pro = 0.13 opinion Test Statistica 3-4 lobs-exp) - 142858 exp If zin-1 (3-1) 22

value is 0.4895 [In any blank cell of excell type CHISA DIST PT (142851,2) Decision- P value 0.48957001 C Alpha) so that, we fail to reject the hull hypothes, Conclusion There is no sufficient evidence to conclude that there the results differ from the survey at level of significance

He: type of vitamin pills taken is of the person 3 Null Hypothesise The not related to the age i.e, Independent Alterhafie Hypothesis Hi The type of vitamin, pills taken is related to the re, Dependent Level of significance: of the person. age Given that 2=0.10 Test Statistic : - Under Ho, the test statistic is X285 (03-ej) z (8-D(S-1) ej Cakulations - Liquid Tables Gummy to Total 27 ATES 20-39 16 6 5 25 12 47 40-59 10 a 5 30 19 260 104 47 23 L Total 34

0,3 = 5. » e,, - Yow totalt column total Grand total 27X34 104 = 8.8269 012= 16 76,2 = 27x47 104 = 12.2019 93=6 27x23 te 3 104 = 5.9711 021 = 10 tel - 47x34 104 15.3653 022 =25 te = 47x47 104 > 21.24084

оз - 12 Эe = 2 x2 3 (о = to. 392 Dat - 19 е Зох 34 Поч = 1, 8оа Эest D32 = 6 ез Эgo (о о = 13:55 ? 3 = 5 Эe33 - 30х23 [o4 6. 63-6 | e сер 5 8 82 69 16 (2:20] - 1 18 22 (5-8 8269) - 16592 8 82.69 (is — (2:2014) [2-2014 6-5. 17 (2) - о, обо 5. 9-12 6 5.912 Lo 15, 3654 (10 - 15. 365ч) - 1.8735 153654 25 2 -ho4 20 66ss (25-24-24 2. 2404

48074 | (19-708532) O ey نع- 2) 12 )0.3968 2-10-378) اها2 = 8ا53] ۱۹ - 8.6155 ۹، 30 31 6 13:53 (17. 13-ی) 234 ا = (3.557 * گ ای ها3 606 -ی) 6 عاد 68 ۵- Fo2 66 34 6 - پی 18. 8598

à de The test statistic is x = {(0; -e;) X (8-1) (S-1) - 18.85980 XC3-183-1) = (8.8598^Xu P value: P = P{ x = 12)} def= 4. P{8 -18.8598} 2=0,10 -0.000 838 Efrom stable) He The result is significant at Polo We rejet Hol

conclusion: The type of vitamin taken is related to the of the person age