In: Statistics and Probability
12. A major study of alternative welfare programs randomly assigned women on welfare to one of two programs, called “WIN” and “Options”. WIN was the existing program. The new Options program gave more incentives to work. An important question was how much more (on the average) women in Options earned than those in WIN. Here is data for earnings in dollars over a three-year period:
Program Number of Participants Average Earnings Standard Deviation
Options 1362 7638 289
WIN 1395 6595 247
Is there evidence at the 5% significance level that the Options participants earn significantly more (on average) than those in the WIN program?
since the size of the sample is large enough, we will use Z test for mean here
There is evidence at the 5% significance level that the Options participants earn significantly more (on average) than those in the WIN program