In this chapter, we examined the difference in educational attainment between first- and second-generation Hispanic Americans and Asian Americans based on the proportion of each group with a bachelor’s degree. We present additional data from the Pew Research Center’s 2013 report, measuring the percentage of each group that owns a home (Frankfort-Nachmias, & Leon-Guerrero, 2018, p. 231).
First-Generation Hispanic Americans (N = 899), 43% own a home
Second-Generation Hispanic Americans (N = 351), 50% own a home
First-Generation Asian Americans (N = 2,684), 58% own a home
Second-Generation Asian Americans (N = 566), 51% own a home
Source: Pew Research Center, Second-Generation Americans: A Portrait of the Adult Children of Immigrants. Pew Research Center, Washington, D.C. February 7, 2013. http://www.pewsocialtrends.org/2013/02/07/second-generation-americans/
Test whether there is a significant difference in the proportion of homeowners between first- and second-generation Hispanic Americans. Set alpha at 0.05.
Test whether there is a significant difference in the proportion of homeowners between first- and second-generation Asian Americans. Set alpha at 0.01.
Reference: Frankfort-Nachmias, C., & Leon-Guerrero, A. (2018). Social statistics for a diverse society (8th ed.). Thousand Oaks, CA: SAGE Publications, Inc.
Question 1
3 Points
Is there a significant difference between first-and second-generation Hispanic American populations?
Yes
No
Question 2
3 Points
What is the difference?
-2.33
2.33
0.0198
0.07
Question 3
2 Points
Is there a significant difference between first-and second-generation Asian populations?
Yes
No
Question 4
2 Points
What is the difference?
3.50
-3.50
0.0004
0.07
In 2016, the Pew Research Center surveyed 1,799 white and 1,001 black Americans about their views on race and inequality. Pew researchers found “profound differences between black and white adults in their views on racial discrimination, barriers to black progress and the prospects for change.” White and black respondents also disagreed about the best methods to achieve racial equality. For example, 34% of whites and 41% of blacks said that “bringing people of different racial backgrounds together to talk about race” would be a very effective tactic for groups striving to help blacks achieve equality.
Test whether the proportion of white respondents who support this tactic is significantly less than the proportion of black respondents.
Question 5
2 Points
What is the null hypotheses?
π₁ ≠ π₂
π₁ = π₂
μ1 = μ2
μ1 ≠ μ2
Question 6
2 Points
What is the research hypotheses?
π₁ ≠ π₂
π₁ = π₂
μ1 = μ2
μ1 ≠ μ2
Question 7
2 Points
Calculate the Z statistic and test the hypothesis at the 0.05 level. What is the Z Statistic?
3.50
-3.50
0.0004
0.07
Question 8
2 Points
What is your decision (step 5 in hypothesis testing)? Do you accept or reject the null hypothesis?
Accept
Reject
We compare the proportion who indicated that it was “very important” to be born in this country to be American for two GSS 2014 groups: respondents (1) born in the United States (native born) and (2) not born in the United States (foreign born).
Test the research hypothesis that a higher proportion of native-born respondents than foreign-born respondents indicated being born in the United States was “very important” to be American. Set alpha at 0.05.
Question 9
2 Points
Do you accept or reject the null hypothesis?
Accept
Reject
