(a) What is the total number of boys diagnosed with ADHD in the sample? Total number of boys = (b) For the null hypothesis, use the overall proportion of births in a quarter to give the null proportion for that quarter. Compute the expected number of ADHD diagnoses for each quarter under this hypothesis. Round your answers to one decimal place. Jan-Mar  : Apr-Jun  : Jul-Sep   : Oct-Dec  : (c) Compute the X^2 -statistic. Round your answer to one decimal place. =

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(a) What is the total number of boys diagnosed with ADHD in the sample?

Total number of boys =

(b) For the null hypothesis, use the overall proportion of births in a quarter to give the null proportion for that quarter. Compute the expected number of ADHD diagnoses for each quarter under this hypothesis.

Round your answers to one decimal place.

Jan-Mar  :

Apr-Jun  :

Jul-Sep   :

Oct-Dec  :

(c) Compute the X^2 -statistic.

Round your answer to one decimal place.

=

 

(d) Give the degrees of freedom and find the p-value.

Enter the exact answer for the degrees of freedom, and round your answer for the p-value to three decimal places.

df= 

p-value=

A study indicates that the youngest children in a school grade are more likely to be diagnosed with attention-deficit/hyperactivity
disorder (ADHD) than their older peers in the same grade. The study involved 937,943 children between 6 and 12 years old in
British Columbia, Canada. The cutoff date for entering school in any year in British Columbia is December 31st, so in any given class,
those born late in the year are almost a year younger than those born early in the year. Is it possible that the younger students are
being over-diagnosed with ADHD?
Boys: ADHD or Just Young?
The table below shows the number of boys diagnosed with ADHD based on the quarter of the year in which they were born, as well
as the proportion of boys born during that quarter.
Birth Date ADHD Diagnoses Proportion of Births
Jan-Mar
6880
0.244
Apr-Jun
7982
0.258
Jul-Sep
9161
0.257
Oct-Dec
8945
0.241
Table 1 ADHD diagnoses and birth date for boys
Transcribed Image Text:A study indicates that the youngest children in a school grade are more likely to be diagnosed with attention-deficit/hyperactivity disorder (ADHD) than their older peers in the same grade. The study involved 937,943 children between 6 and 12 years old in British Columbia, Canada. The cutoff date for entering school in any year in British Columbia is December 31st, so in any given class, those born late in the year are almost a year younger than those born early in the year. Is it possible that the younger students are being over-diagnosed with ADHD? Boys: ADHD or Just Young? The table below shows the number of boys diagnosed with ADHD based on the quarter of the year in which they were born, as well as the proportion of boys born during that quarter. Birth Date ADHD Diagnoses Proportion of Births Jan-Mar 6880 0.244 Apr-Jun 7982 0.258 Jul-Sep 9161 0.257 Oct-Dec 8945 0.241 Table 1 ADHD diagnoses and birth date for boys
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