Opinion and Political Affiliation A group of 306 people were interviewed to determine their opinion concerning a particular current U.S. foreign policy issue. At the same time, their political affiliation was recorded. Do the data in the table present sufficient evidence to indicate a dependence between party affiliation and the opinion expressed for the sampled population? Use the third Chi-Square Test of Independence applet.
 | Approve | Do Not Approve | No Opinion |
Republicans | 114 | 53 | 17 |
Democrats | 87 | 27 | 8 |
Applet:
The Chi-Square Test of Independence applet can help you visualize the distribution of the observed frequencies. In Figure 14.2(a), the blue bars (blue in Figure 14.2(a)) represent categories that have an excess of defectives relative to expected and red cells (gray in Figure 14.2(a)) indicate a deficit of defectives relative to expected. The intensity of the color reflects the magnitude of the discrepancy. In Figure 14.2(b), we used the button to view the expected distribution of defectives if the null hypothesis is true. The relative heights of the rectangles in each of the three columns correspond to the conditional distribution of defectives per shift given in Table 14.5. We will use this applet for the My Applet Exercises at the end of the chapter.
FIGURE 14.2 Chi-Square Test of Independence applet
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