Use Chi-Squared. Problem 5) In this problem we compare 2016 Republican President

Question

Use Chi-Squared.

Problem 5) In this problem we compare 2016 Republican Presidential Candidate Polls Candidate National Poll Rasmussen Reports Texas Poll Emerson (www.realclearpolitics.com) 29 Feb. 2016 smuss 23 Feb. 2016 Kasich Cruz Rubio Tru Carson Other 12% 17% 21% 36% 8% 6% 40 Texans (990) 157 Texans (35%) 72 Texans (16%) 144 Texans (32%) 18 Texans (4%) 18 Texans (4%) Total Number of Texans Polled: 449 How confident can you be that the opinions of Texans are not consistent with the national averages? (Note: Do NOT interpolate confidence levels from the table. Simply state what you can, and cannot, conclude based on listed values only.)

Explanation / Answer

Null HYpothesis : H0 : Opinions of Texans are consistent with the national averages.

Alternative Hypothesis : Ha : Opinion of Texans are not consistent with the national averages.

CHi - square table :

Chi - Square X2 = 107.93

P - value = 1.12 x 10-11

so we are absolutely confident that P - value is absolutely significant. so it is confirmed that opinion of Texans are not consistent with the national averages.

Candidate National Poll Texas Poll (Observed) Oi Texas Poll (Expected) Ei (Oi - Ei)^2 (Oi - Ei)^2/Ei Kasich 12% 40 53.88 192.65 3.58 Cruz 17% 157 76.33 6507.65 85.26 Rubio 21% 72 94.29 496.84 5.27 Trump 36% 144 161.64 311.17 1.93 Carson 8% 18 35.92 321.13 8.94 Other 6% 18 26.94 79.92 2.97 100% 449 449 107.93

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