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, 42% four-year-olds, 22% three-year-olds, and 22% under three years. When the program was assessed in a particular region, it was found that of the 219 randomly selected participants, 24 were 5 years old, 105 were 4 years old, 50 were 3 years old, 40 were under 3 years old. Perform a test to see if there sufficient evidence at a = 0.05 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)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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, 42%
four-year-olds, 22% three-year-olds, and 22% under three years. When the program was assessed in a
particular region, it was found that of the 219 randomly selected participants, 24 were 5 years old, 105
were 4 years old, 50 were 3 years old, 40 were under 3 years old. Perform a test to see if there sufficient
evidence at a = 0.05 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, 42% four-year-olds, 22% three-year-olds, and 22% under three years. When the program was assessed in a particular region, it was found that of the 219 randomly selected participants, 24 were 5 years old, 105 were 4 years old, 50 were 3 years old, 40 were under 3 years old. Perform a test to see if there sufficient evidence at a = 0.05 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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