Question

In: Statistics and Probability

12. A major study of alternative welfare programs randomly assigned women on welfare to one of...

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?

Solutions

Expert Solution

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


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