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Testing at the 1% level: Autism Spectrum Disorder Diagnosis

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Are there more children diagnosed with Autism Spectrum Disorder (ASD) in states that have larger urban areas over states that are mostly rural? In the state of Pennsylvania, a fairly urban state, there are 245 eight year olds diagnosed with ASD out of 18,440 eight year olds evaluated. In the state of Utah, a fairly rural state, there are 45 eight year olds diagnosed with ASD out of 2,123 eight year olds evaluated ("Autism and developmental," 2008). Is there enough evidence to show that the proportion of children diagnosed with ASD in Pennsylvania is more than the proportion in Utah? Test at the 1% level.

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The random variable is whether or not a child is diagnosed with Autism Spectrum Disorder (ASD). The parameters are the proportions of children diagnosed with Autism Spectrum Disorder (ASD) in urban and rural states.
Null Hypothesis: The proportion of children diagnosed with Autism Spectrum Disorder (ASD) in Pennsylvania, a fairly urban state, is either less than or equal ...

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