In: Statistics and Probability
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 0.01 level to determine if Party Affiliation and Response are dependent, calculate the chi-square test statistic and p-value.
The contingency table below provides the following information:
the observed cell totals, (the expected cell totals) and [the chi-square statistic for each cell].
The chi-square statistic, p-value and statement of significance appear beneath the table.
Results | ||||||
Worse | Same | Better | Row Totals | |||
Independent | 22 (22.27) [0.00] | 51 (46.48) [0.44] | 27 (31.25) [0.58] | 100 | ||
Republic | 19 (23.60) [0.90] | 49 (49.27) [0.00] | 38 (33.12) [0.72] | 106 | ||
Democratic | 16 (11.13) [2.13] | 19 (23.24) [0.77] | 15 (15.62) [0.02] | 50 | ||
Column Totals | 57 | 119 | 80 | 256 (Grand Total) |
The chi-square statistic is 5.5631. The p-value is
.234234. The result is not significant at p <
.01.
Since result is not significant, Party Affiliation and Response are independent