Section 4.1 Contingency Tables

1. The 116^th US Congress (2018-19) is the most diverse yet, but how diverse is it? Below are some contingency tables.

a. Complete each table below. [4 points]

	Openly LGBTQ+	Straight or not out	Total
House Democrats	8		236
Senate Democrats	2		47
House Republicans	0		199
Senate Republicans	0		53
Total

	Black	Latinx	Native American	Asian or Pacific Islander	White	Total
House Democrats	51	33	2	14	136	236
Senate Democrats	2	2	0	3	41	47
House Republicans	1	6	2	0	190	199
Senate Republicans	1	2	0	0	50	53
Total

*Note: multiracial people will be counted in more than one category.

*Note: that racial categories have been socially constructed and have many limitations. The US Census does not have a category for people from the Middle East, who have been traditionally categorized as white. This may not feel representative to them (about 3 million people). Multiracial was either not an option or not listed for any members of congress.

Source: https://www.dailykos.com/stories/2018/11/29/1815960/-Daily-Kos-Elections-presents-our-comprehensive-guide-to-the-116th-Congress-members-and-districts

Use the tables to answer the questions. Show your steps and answer questions in a complete sentence.

b. What percentage of congress is out as LGBTQ+? [1 point]

c. If a member of congress is chosen at random, what is the probability they are Republican and out as LGBTQ+?

d. If a member of congress is selected, what is the probability they identify as a person of color (Black or Latinx or Native American or Asian or Pacific Islander)?

e. Given that a person in congress identifies as Black, what is the probability they are a Democrat?

f. Given that a person in congress is a Republican, what is the probability they are White?

g. Calculate the percentage of each race/ethnicity in congress. Then compare your percentages with the overall US demographics using this link. https://www.census.gov/quickfacts/fact/table/US/PST045218

	Black	Latinx	Native American	Asian or Pacific Islander	White
Percentage of Congress
Percentage of US Population

h. Do you think the representation in congress is fair? Explain why or why not.