A study examines a group of r mothers with young children who were receiving wel

Question

A study examines a group of r mothers with young children who were receiving welfare last year. The women attended a voluntary job training program that was offered free of charge at a local vocational school and was advertised in the local news media. The study report says that with 95% confidence, the percent of the women still on welfare is 21% plusminus 4%. You are on the staff of a member of Congress who is interested in the plight of welfare mothers and who asks you about the report. a) Explain clearly and briefly what "95% confidence" means. b) Is this study good evidence that requiring job training of all welfare mothers would greatly reduce the percent who remain on welfare for several years? Think about the study design to answer this question.

Explanation / Answer

Solution:

a) The interval is constructed using a method that is correct (i.e., contains the actual proportion)
95% of the time.

b) No—treatments were not randomly assigned, but instead were chosen by the mothers.
Mothers who choose to attend a job training program may be more inclined to get themselves
out of welfare.

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