**Congressional Representatives - Educational Analysis** Four states were randomly selected, and their members in the U.S. House of Representatives (111th Congress) are noted below. At α = 0.10, can it be concluded that there is a dependent relationship between the state and the political party affiliation of their representatives? ### Table of Congressional Representatives by State and Party Affiliation | | Democrat | Republican | |------------------|----------|------------| | **Michigan** | 8 | 7 | | **California** | 33 | 19 | | **Texas** | 12 | 20 | | **Florida** | 10 | 15 | ### Explanation: This table shows the number of Representatives from four states (Michigan, California, Texas, and Florida) categorized by their political party affiliations (Democrat and Republican). This data can be used to analyze if there is a significant relationship between the state and the political party affiliation of their representatives. One analytical approach is to perform a Chi-square test of independence to determine if the observed distribution of representatives across the states and parties significantly deviates from what would be expected if there were no relationship. The significance level (α) for this test is 0.10.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.