Question: - According to census data, the US has the following composition in terms of race and ethnicity [Note: Hispanic is not a race, but Hispanics
- According to census data, the US has the following composition in terms of race and ethnicity [Note: Hispanic is not a race, but Hispanics of any race are categorized only as Hispanic here]:
White: 60.1%, Hispanic: 18.5%, Black: 12.6%, Asian: 5.8%, Mixed/Other: 3.0%
Among 432 members elected to the House of Representatives in 2020, the breakdown was as follows:
White | Hispanic | Black | Asian | Mixed/Other |
|---|---|---|---|---|
309 | 44 | 55 | 15 | 9 |
We want to test the hypothesis that the proportions of race/ethnicity in the House of Representatives is consistent with that of the US as a whole. The tables show the racial breakdowns of members of the house of representatives.
a. Fill out the following table with the expected values. Round each to one decimal place (you can add a table in the essay section):
b. Find the Chi-Squared test statistic, the degrees of freedom, and the p-value.
c. Are the racial demographics of congress significantly different from those of the U.S. as a whole at the = .05 significance level? Justify your answer.
Race/Ethnicity | White | Hispanic | Black | Asian | Other |
|---|---|---|---|---|---|
Observed | 309 | 44 | 55 | 15 | 9 |
Expected |
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