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Long term effects of preschool programs for poor children

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To study the long term effects of preschool programs for poor children, the High/Scope Educational Research Foundation has followed two groups of Michigan children since early childhood. One group of 62 attended preschool as 3 and 4 year olds. A control group of 61 children from the same area and similar backgrounds did not attend preschool. Over a ten year period as adults, 38 of the preschool sample and 49 of the control sample needed social services (mainly welfare).

Does the study provide significant evidence that children who attend preschool have less need for social services as adults? How large is the difference between the proportions of the preschool and no-preschool populations that require social services? Do inference to answer both questions. Be sure to explain exactly what inference you choose to do.

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Solution Summary

The long term effects of preschool programs for poor children are determined.

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See attached file for proper formatting.

No Preschool:
n_1=61
(p_1 ) ̂=49⁄61=.8033

Preschool:
n_2=62
(p_2 ) ̂=38/62=.6129
Test used is a 2 proportion z test.
H_o: p_1-p_2=0
H_a:p_1-p_2>0
The difference in ...

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