Assume that last year in a particular state there were 211 children out of 1990 who were diagnosed with Autism Spectrum Disorder. Nationally, 1 out of 88 children are diagnosed with ASD. It is believed that the incident of ASD is more common in that state than nationally.  Calculate a 96% confidence interval for the percentage of children in that state diagnosed with ASD. P: Parameter     What is the correct parameter symbol for this problem?                    What is the wording of the parameter in the context of this problem?               A: Assumptions Since     information was collected from each object, what conditions do we need to check?  Check all that apply.     n≥30n≥30 or normal population. N≥20nN≥20n n(pˆ)≥10n(p̂)≥10 σσ is known. σσ is unknown. n(1−pˆ)≥10n(1-p̂)≥10     Check those assumptions:     1. nˆpnp^=  which is            2. n(1−ˆp)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     . I: Interval and point estimate     The symbol and value of the point estimate on this problem are as follows:                =  Leave answer as a fraction.     The interval estimate for            is ( ,  )     Round endpoints to 3 decimal places. C: Conclusion  We are  % confident that           is between  % and  %

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Assume that last year in a particular state there were 211 children out of 1990 who were diagnosed with Autism Spectrum Disorder. Nationally, 1 out of 88 children are diagnosed with ASD. It is believed that the incident of ASD is more common in that state than nationally.  Calculate a 96% confidence interval for the percentage of children in that state diagnosed with ASD.

P: Parameter

    What is the correct parameter symbol for this problem?

              

    What is the wording of the parameter in the context of this problem?

             

A: Assumptions

  • Since     information was collected from each object, what conditions do we need to check?  Check all that apply.

   

  • n≥30n≥30 or normal population.
  • N≥20nN≥20n
  • n(pˆ)≥10n(p̂)≥10
  • σσ is known.
  • σσ is unknown.
  • n(1−pˆ)≥10n(1-p̂)≥10


    Check those assumptions:

    1. nˆpnp^=  which is       

    2. n(1−ˆp)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     .

I: Interval and point estimate

    The symbol and value of the point estimate on this problem are as follows:

               =  Leave answer as a fraction.

    The interval estimate for            is ( ,  )

    Round endpoints to 3 decimal places.

C: Conclusion 

  • We are  % confident that           is between  % and  %
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