Ages of Head Start Program Students The Head Start Program provides a wide range of services to low-income children up to the age of 5 and their families. Its goals are to provide services to improve social and learning skills and to improve health and nutrition status so that the participants can begin school on an equal footing with their more advantaged peers. The distribution of ages for participating children is as follows: 4%  five-year-olds, 52%  four-year-olds, 34%  three-year-olds, and 10%  under three years. When the program was assessed in a particular region, it was found that of the 200 participants, 10  were 5  years old, 96  were 4  years old, 84 were 3 years old, and 10  were under 3  years. Is there sufficient evidence at α=0.05 that the proportions differ from that of the program? Use the P-value method. Compute the test value. Round your answer to at least three decimal places χ2 =         Make the decision.

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Ages of Head Start Program Students The Head Start Program provides a wide range of services to low-income children up to the age of 5 and their families. Its goals are to provide services to improve social and learning skills and to improve health and nutrition status so that the participants can begin school on an equal footing with their more advantaged peers. The distribution of ages for participating children is as follows: 4%  five-year-olds, 52%  four-year-olds, 34%  three-year-olds, and 10%  under three years. When the program was assessed in a particular region, it was found that of the 200 participants, 10  were 5  years old, 96  were 4  years old, 84 were 3 years old, and 10  were under 3  years. Is there sufficient evidence at α=0.05 that the proportions differ from that of the program? Use the P-value method.

Compute the test value. Round your answer to at least three decimal places

χ2
=
 
 
 
 

Make the decision.

Summarize the results.

 

There is ▼(Choose one) evidence ▼(Choose one) the null hypothesis that proportion of adults who do not have health insurance is equally distributed among the three education categories.

If the null hypothesis is rejected, give a possible reason for this.

 

Those with ▼(Choose one) education have better jobs that provide employee health insurance.
 
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