Assume that last year in a particular state with 700000 children there were 1552 children out of 31500 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 7% level. P: PARAMETER What is the correct parameter symbol for this problem? What is the wording of the parameter in the context of this problem? 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: HA:HA: A: ASSUMPTIONS Since information was collected from each object, what conditions do we need to check? Check all that apply. n(1−pˆ)≥10n(1-p̂)≥10 σσ is unknown. N≥20nN≥20n np≥10np≥10 σσ is known. n(1−p)≥10n(1-p)≥10 n≥30n≥30 or normal population. n(pˆ)≥10n(p̂)≥10 Check those assumptions: Round computations to 2 decimal places. 1. npnp = which is 2. n(1−p)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 . T: TEST STATISTIC The symbol and value of the random variable on this problem are as follows: Leave this answer as a fraction. = The formula set up of the test statistic is as follows.: (Leave any values that were given as fractions as fractions) z=pˆ−p√p(1−p)n=z=p̂-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 . S: STATE A CONCLUSION There significant evidence to conclude
Assume that last year in a particular state with 700000 children there were 1552 children out of 31500 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 7% level.
P: PARAMETER
What is the correct parameter symbol for this problem?
What is the wording of the parameter in the context of this problem?
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:
HA:HA:
A: ASSUMPTIONS
Since information was collected from each object, what conditions do we need to check?
Check all that apply.
- n(1−pˆ)≥10n(1-p̂)≥10
- σσ is unknown.
- N≥20nN≥20n
- np≥10np≥10
- σσ is known.
- n(1−p)≥10n(1-p)≥10
- n≥30n≥30 or normal population.
- n(pˆ)≥10n(p̂)≥10
Check those assumptions:
Round computations to 2 decimal places.
1. npnp = which is
2. n(1−p)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 .
T: TEST STATISTIC
The symbol and value of the random variable on this problem are as follows:
Leave this answer as a fraction.
=
The formula set up of the test statistic is as follows.:
(Leave any values that were given as fractions as fractions)
z=pˆ−p√p(1−p)n=z=p̂-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 .
S: STATE A CONCLUSION
There significant evidence to conclude
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