Question

A political poll asked potential voters if they felt the economy was going to get worse, or better during the next 12 months. The party affiliations of the respondents were also noted. The results are shown in the following table. To test at the 0.1 level to determine if Party Affiliation and Response are dependent, calculate the chi- square test statistic and p-value. Cross Tabulation of Party Affiliation vs. Response Worse Better 43 16 Republican 16 60 Democrat 1) None of the other options are fully correct. 2) 36.264, the degrees of freedom is 4, and the p-value is 0.0000. 3) 48.341, the degrees of freedom is 1, and the p-value is 1.0000. 4) 36.264, the degrees of freedom is 1, and the p-value is 0.0000 5) 36.264, the degrees of freedom is 1, and the p-value is 0.1000

Answer 1

Test for Independence for 2x2 contingency Table. Response (j) Worse Better | Total Republican A3 (a) no 16 (c) | Ba cate) Party Affiliation (1) Democrat 16 (b) 59 (a+b) 60 (d) 46(3+1) 46/c+d) 135 Total Total | Here our hypothesis is given by Ho: Pij = Pio X poj si, j = 1,2 Hii Pij F Pio X poj I cell at the juncture of The probability of the ith row ang and jth column if equals the marginal distributia of both then the attribute response and Party Affiliation are independent. The test - statistic is given by Te lad-be)? N . product of (a+b) (ate) (Ctd) (bid) a Xi

T = (2580 7 256)x135 (69) (89) (46) (46) 3626 39 = 36 - 264 the calculated p-value is < 0.00001 Hence the answer is - 36. 264; the degrees of freedomis 1, and the p-value is 0.0000. EN