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 9% five-year-olds, 47% four-year-olds, 17% three-year-olds, and 27% under three years. When the program was assessed in a particular region, it was found that of the 218 randomly selected participants, 24 were 5 years old, 100 were 4 years old, 39 were 3 years old, 55 were under 3 years old. Perform a test to see if there sufficient evidence at αα = 0.01 that the region's proportions differ from the national proportions. The correct hypotheses are: H0:H0: The regional distribution is a good fit to the national distribution.HA: HA: The regional distribution is not a good fit to the national distribution.(claim) H0:H0: The regional distribution is not a good fit to the national distribution. HA:HA: The regional distribution is a good fit to the national distribution.(claim) H0:H0: The regional distribution and the national distribution are independent.HA: HA: The regional distribution and the national distribution are dependent.(claim) H0:H0: The regional distribution and the national distribution are dependent. HA:HA: The regional distribution and the national distribution are independent.(claim) The test value is (round to 3 decimal places) The p-value is (round to 3 decimal places) The correct decision is to reject H0H0 do not reject H0H0 The final conclusion is There is enough evidence to reject the claim. There is not enough evidence to reject the claim. There is enough evidence to support the claim. There is not enough evidence to support the claim.

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Description: 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 th

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 25PPS

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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 9% five-year-olds, 47% four-year-olds, 17% three-year-olds, and 27% under three years. When the program was assessed in a particular region, it was found that of the 218 randomly selected participants, 24 were 5 years old, 100 were 4 years old, 39 were 3 years old, 55 were under 3 years old. Perform a test to see if there sufficient evidence at αα = 0.01 that the region's proportions differ from the national proportions.

The correct hypotheses are:

H0:H0: The regional distribution is a good fit to the national distribution.HA:
HA: The regional distribution is not a good fit to the national distribution.(claim)

H0:H0: The regional distribution is not a good fit to the national distribution.
HA:HA: The regional distribution is a good fit to the national distribution.(claim)
H0:H0: The regional distribution and the national distribution are independent.HA:
HA: The regional distribution and the national distribution are dependent.(claim)
H0:H0: The regional distribution and the national distribution are dependent.
HA:HA: The regional distribution and the national distribution are independent.(claim)

The test value is ______ (round to 3 decimal places)

The p-value is ______ (round to 3 decimal places)

The correct decision is to

reject H0H0
do not reject H0H0

The final conclusion is

There is enough evidence to reject the claim.
There is not enough evidence to reject the claim.
There is enough evidence to support the claim.
There is not enough evidence to support the claim.

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