Question

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.

Answer 1

Let p be the proportion of children diagnosed with ASD in Arizona. The hypotheses are:

This is right tailed test.

The sample proportion is:

The test statistic is:

The p-value for this right tailed test is:

Since p-value is less than 0.01, reject the null hypothesis. We can conclude that there is sufficient data to show that the incident of ASD is more in Arizona than nationally.