Question

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1. Chi-square problem A new online sports magazine is interested in understanding the effect on citizenship status on perceived sports attractiveness. Two questions were asked in a survey conducted among likely readers: "what is your citizenship status?" and "what is your favorite sport?" and their answers to the two questions were paired in the crosstab below: Football Jai-Alai Favorite Sport Soccer 10 10 40 Citizenship Native-born Naturalized Non-Citizen 10 5 5 10 Determine whether there is a significant pattern at 95% confidence. Show all work

Answer 1

Answer: The null and arternative nipotneses are Ho citizenship and sports altraction are independent. Ha: citizenship and Sports altraction are not independent. :009 (957. confidence) We use chi square test of independence Cnsand total of frequencies -100 To find Expected frequencies Expected frequencies - Crow total * column tolais) rotal Cana Expected frequencies (E) football SocceX Jai-Alai 1 is Native Boon Naturelized non-citizen 30 10 following tabic gives value of Cobserved - Expected) / expected Atauti football 3.3333 jai-Alai Native Boon Soccer 1:6 67 S 1.6667 Naturalized 2-5 no Non-citizen 2-5

chi square value = { [cobserved - Expected]2/Expected] x² = 21.6667 Now, Degrees of freedom = (number of rows -1)* Cnumber of clumns- - 4. table or CHISQ.DIST.RT (A idf) function of Fixcel - from chi saruare Now, find avauc i P-value = CHISQ. DIST.RT (21-6667,4) = 0.0002 Decision 0.0002 C 0.05 P-value ca Hence reject Ho conclusion citizenship status sports affractiveness. has an effect on prex caved