(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. =
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
(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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c70a8a2-c81a-48ac-ab68-b2834939c6b9%2F9bd29d92-1ba3-4092-b89b-51c907219754%2F9ack5mb_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)