Question

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.

a.) State the random variables and the parameters in words.

X1 =

X2 =

P1=

P2 =

2. State the null and alternative hypotheses and the level of significance

H0 :

HA :

A =

3. State and check the assumptions for a hypothesis test

4. Find the sample statistics, test statistic, and p-value

Sample Proportion:

p-value:

5. Conclusion

Reject or Fail to reject H0 since ….

6. Interpretation

Answer 1