Black Lives Matter (BLM)

A researcher is interested in whether attitudes about Black Lives Matter (BLM) differ between
white Democrat survey respondents and Latinx Democrat survey respondents. To measure
attitudes toward BLM, the researcher used a 101-point feeling thermometer such that a 0
denotes least favorable ratings and a 100 denotes most favorable ratings. To measure race, the
researcher created a dummy (binary) variable for race coded 1 if the survey respondent
identified as white and 0 if the survey respondent identified as Latinx.
The researcher conducts a two-group t-test and sees the results reported below:
t.test(dems$police_therm~dems$whitelat, var.equal=FALSE, type=”two.sided”)
t = -1.654, df = 454.44, p-value = 0.09882
95 percent confidence interval:
-5.4125030 0.4654062
sample estimates:
mean Latinx mean Whites
60.82073 63.29428
1. What are the null and alternative hypotheses the researcher is interested in, given the
description above?
2. Based on the evidence reported in the output given, is there sufficient evidence to reject the
null hypothesis? Why or why not? Assume α=0.05.
3. Would there be sufficient evidence to conclude that white Democrat ratings of the police are
significantly higher than Latinx ratings of the police? Why or why not? Assume α=0.05.