Problem 5) In this problem we compare 2016 Republican Presidential Candidate Pol

Question

Problem 5) In this problem we compare 2016 Republican Presidential Candidate Polls. Candidate National Poll Rasmussen Reports www.rasmussenreports.com 23 Feb. 2016 Texas Poll Emerson (www.realclearpolitics.com) 29 Feb. 2016 Kasich Cruz Rubio Trum Carson Other 12% 17% 21% 36% 8% 6% 40 Texans (9%) 157 Texans(35%) 72 Texans ( 16%) 144 Texans (32% 18 Texans (4%) 18 Texans (4%) Total Number of Texans Polled: 449 How confident can vou 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

from above applying chi square goofness of fit test:

for above test stat =107.9336; p value =0.0000

therefore we are approximately 100% confident that opinion of Texans are not consistent with the mational averages

observed Expected Chi square Type Probability O E=total*p =(O-E)^2/E kasich 0.120 40.000 53.88 3.58 Cruz 0.170 157.000 76.33 85.26 Rubio 0.2100 72.000 94.29 5.27 trump 0.3600 144.000 161.64 1.93 Carson 0.0800 18.000 35.92 8.94 Other 0.0600 18.000 26.94 2.97 1 449 449 107.9336

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