Reference no: EM132488081
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.
Step 1: State the question
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.
Step 2: Identify the information
a. State the random variables and parameters in words
b. State the null and alternative hypotheses and level of significance
c. Determine the type of test this is, then state and check the assumptions for this type of test
Step 3: Perform calculations
a. Find the sample statistics
b. Find the test statistic
c. Find the p-value
d. State the conclusion (compare p and alpha and decide to reject Ho or fail to reject Ho)
Step 4. Interpret (answer the original question in a complete sentence)
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