The town of STA305 has a large immigrant population. The town rolled out a new career support program for new immigrant families a few years ago and the town wants to find out whether the program helped immigrant families settle into the town.
The town collects survey data from 30 immigrant families that moved to the town of STA305 and the town of STA30 between 2 and 3 years ago. The Town of STA303 is a demographically similar town in the same province, but it does not have a career support program for new immigrants.
The survey response consist of the following covariates:
• education: the highest level of education among family members from their home country (1: did not complete secondary education; 2: completed secondary education; 3: completed post-secondary education)
• numchild: number of children at the time of immigration
• urban: whether the family lived in an urban area (=1) or a rural areal (=O) in their home country
The treatment variable (town) is 1 if the family lives in the town of STA305 and 0 if in STA303. The outcome variable (income) is their current household income in $1,000.
Select whether the following two statements are true.
that John's family living in STA305 and Matthew's family living in STA303 have an equal propensity score. This implies that all of their covariates must be equal.