Question: You have just read a friend's study which found that Congressional districts with high percentages of minority residents had a higher mean percentage of votes

You have just read a friend's study which found that Congressional districts with high percentages of minority residents had a higher mean percentage of votes for Democratic candidates in the 1994 election for the House of Representatives than districts with low percentages of minority residents. Your friend concluded that drawing Congressional boundaries to ensure that some districts have high concentrations of minority voters increases the chances that Democrats will be elected to office. You point out that this conclusion is not necessarily correct. After all, if one type of district has a mean percentage of votes for the Democratic candidate of 32.5 and another type of district has a mean percentage of votes for the Democratic candidate of 26.3, Republicans will get elected in both types of districts. You decide to use the same sample data to see if there is a difference in the percentage of Democrats elected to Congress in the two types of districts.Please I would really appreciate it if the answers are hand written. Thank you!!!

You have just read a friend's study which found that Congressional districts

Table 1 Percentage of Districts Electing a Democrat or Republican to Congress by Racial/Ethnic Composition of District Type of District Party of Elected Candidate Minority Nonminority Republican 25.0 61.7 Democrat 75.0 38.3 100.0% 100.0% (60) (115) Source: U.S. Bureau of the Census, Statistical Abstract of the United States: 1993, Washington, DC, 1993, pp. 951-957; and 1995, pp. 276-279. 1. From Table 1, you see that there is quite a large difference in the percentage of minority and nonminority districts that elected a Democrat to Congress In 1994. Even so, you need to do a test of statistical significance before stating your findings. Explain why. 2. Using correct statistical notation, state the research and null hypotheses for a test of the hypothesis that minority districts are more likely to elect a Democrat than nonminority districts. 3. Calculate the appropriate test statistic, and report whether the null hypothesis can be rejected. If so, at what level of significance? If not, why not

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!