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The head start program provides a wide range of services to low-income children up to the age of 5 years 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 14% five-year-olds, 48% four-year-olds, 24% three-year-olds, and 14% under three years. When the program was assessed in a particular region, it was found that of the 221 randomly selected participants, 33 were 5 years old, 97 were 4 years old, 64 were 3 years old, 27 were under 3 years old. Perform a test to see if there sufficient evidence at a = 0.10 that the region's proportions differ from the national proportions. The correct hypotheses are: Ho: The regional distribution is a good fit to the national distribution. HA: The regional distribution is not a good fit to the national distribution. (claim) O Ho: The regional distribution is not a good fit to the national distribution. HA: The regional distribution is a good fit to the national distribution. (claim) O Ho: The regional distribution and the national distribution are independent. HA: The regional distribution and the national distribution are dependent.(claim) O Ho: The regional distribution and the national distribution are dependent. HA: The regional distribution and the national distribution are independent. (claim) The test value is The p-value is (round to 3 decimal places) (round to 3 decimal places)

The head start program provides a wide range of services to low-income children up to the age of 5 years 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 14% five-year-olds, 48% four-year-olds, 24% three-year-olds, and 14% under three years. When the program was assessed in a particular region, it was found that of the 221 randomly selected participants, 33 were 5 years old, 97 were 4 years old, 64 were 3 years old, 27 were under 3 years old. Perform a test to see if there sufficient evidence at a = 0.10 that the region's proportions differ from the national proportions. The correct hypotheses are: Ho: The regional distribution is a good fit to the national distribution. HA: The regional distribution is not a good fit to the national distribution. (claim) O Ho: The regional distribution is not a good fit to the national distribution. HA: The regional distribution is a good fit to the national distribution. (claim) O Ho: The regional distribution and the national distribution are independent. HA: The regional distribution and the national distribution are dependent.(claim) O Ho: The regional distribution and the national distribution are dependent. HA: The regional distribution and the national distribution are independent. (claim) The test value is The p-value is (round to 3 decimal places) (round to 3 decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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The head start program provides a wide range of services to low-income children up to the age of 5 years 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 14% five-year-olds, 48% four-year-olds, 24% three-year-olds, and 14% under three years. When the program was assessed in a particular region, it was found that of the 221 randomly selected participants, 33 were 5 years old, 97 were 4 years old, 64 were 3 years old, 27 were under 3 years old. Perform a test to see if there sufficient evidence at a = 0.10 that the region's proportions differ from the national proportions. The correct hypotheses are: Ho: The regional distribution is a good fit to the national distribution. HA: The regional distribution is not a good fit to the national distribution. (claim) O Ho: The regional distribution is not a good fit to the national distribution. HA: The regional distribution is a good fit to the national distribution. (claim) O Ho: The regional distribution and the national distribution are independent. HA: The regional distribution and the national distribution are dependent.(claim) O Ho: The regional distribution and the national distribution are dependent. HA: The regional distribution and the national distribution are independent. (claim) The test value is The p-value is (round to 3 decimal places) (round to 3 decimal places)
Transcribed Image Text:The head start program provides a wide range of services to low-income children up to the age of 5 years 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 14% five-year-olds, 48% four-year-olds, 24% three-year-olds, and 14% under three years. When the program was assessed in a particular region, it was found that of the 221 randomly selected participants, 33 were 5 years old, 97 were 4 years old, 64 were 3 years old, 27 were under 3 years old. Perform a test to see if there sufficient evidence at a = 0.10 that the region's proportions differ from the national proportions. The correct hypotheses are: Ho: The regional distribution is a good fit to the national distribution. HA: The regional distribution is not a good fit to the national distribution. (claim) O Ho: The regional distribution is not a good fit to the national distribution. HA: The regional distribution is a good fit to the national distribution. (claim) O Ho: The regional distribution and the national distribution are independent. HA: The regional distribution and the national distribution are dependent.(claim) O Ho: The regional distribution and the national distribution are dependent. HA: The regional distribution and the national distribution are independent. (claim) The test value is The p-value is (round to 3 decimal places) (round to 3 decimal places)
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