2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008).  Nationally 1 in 88 children are diagnosed with ASD ("CDC features -," 2013).  Is there sufficient data to show that the incident of ASD is more in Arizona than nationally?  Test at the 1% level (Show your work).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008).  Nationally 1 in 88 children are diagnosed with ASD ("CDC features -," 2013).  Is there sufficient data to show that the incident of ASD is more in Arizona than nationally?  Test at the 1% level (Show your work).

Expert Solution
Step 1

The proportion of children with ASD in national 

Statistics homework question answer, step 1, image 1

 

The hypothesis need to be tested that whether the population proportion of children with ASD in Aizona is greater than nationally (0.0114) or not.

Thus, hypothesis can be constructed as:

Statistics homework question answer, step 1, image 2

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