## Question

# Assume that last year in a particular state with 700000 children there were 1307 children out of 33400 in a random sample who were diagnosed

Assume that last year in a particular state with 700000 children there were 1307 children out of 33400 in a random sample who were diagnosed with Autism Spectrum Disorder. Nationally, 1 out of 88 children are diagnosed with ASD. Is there sufficient data to show that the incident rate of ASD is higher in that state than nationally? Test at the 5% level. P: PARAMETER

What is the correct parameter symbol for this problem? ? X n N s X p p What is the wording of the parameter in the context of this problem? Select an answer A randomly selected a child in that state that is diagnosed with ASD The percentage of all children in that state that are diagnosed with ASD All children in that state A randomly selected a child in that state Whether or not a randomly selected a child in that state is diagnosed with ASD 33400 randomly selected children in that state The percentage of 33400 randomly selected children in that state that are diagnosed with ASD All children in that state that are are diagnosed with ASD H: HYPOTHESES

Fill in the correct null and alternative hypotheses:

**The value of p on this one is a fraction....leave it exact.**

H0:H0: ? p s X X n p N ? < > = HA:HA: ? p n s X p X N ? > < =

A: ASSUMPTIONS

Since Select an answer qualitative quantitative information was collected from each object, what conditions do we need to check?

Check all that apply.

- is known.
- n30n30 or normal population.
- is unknown.
- n(1p)10n(1-p)10
- N20nN20n
- np10np10

Check those assumptions:

**Round computations to 2 decimal places.** 1. npnp = which is ? = 2. n(1p)n(1-p) = which is ? = 3. NN = which is ? =

If no N is given in the problem, use 1000000 N: NAME THE PROCEDURE

The conditions are met to use a Select an answer 1-Proportion Z-Test T-Test . T: TEST STATISTIC

The symbol and value of the random variable on this problem are as follows:

**Leave this answer as a fraction.** ? s p p X X n N =

The formula set up of the test statistic is as follows.:

**(Leave any values that were given as fractions as fractions)**

z=ppp(1p)n=z=p-pp(1-p)n= ( - )/((/(( (1(1- ))// ))

Final answer for the test statistic from technology.

Round to 2 decimal places:

z =

O: OBTAIN THE P-VALUE

Report to 4 decimal places.

It is possible when rounded that a p-value is 0.0000 P-value = M: MAKE A DECISION

Since the p-value ? > = , we Select an answer reject H accept H fail to reject H fail to reject H reject H . S: STATE A CONCLUSION

There Select an answer is is not significant evidence to conclude Select an answer A randomly selected a child in that state that is diagnosed with ASD The percentage of all children in that state that are diagnosed with ASD The percentage of 33400 randomly selected children in that state that are diagnosed with ASD All children in that state Whether or not a a child in that state is diagnosed with ASD All children in that state that are are diagnosed with ASD 33400 randomly selected children in that state A randomly selected a child in that state Select an answer is less than is equal to is more than differs from

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