1) ADHD or Just Young? Were you one of the youngest or one of the oldest in your class in elementary school? A new study examines whether 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 almost a million children between the ages of 6 and 12 in British Columbia, Canada. The cutoff date for entering school in Canada is December 31, so those born in January are the oldest in any given class and those born in December are the youngest. The table below shows the number of boys diagnosed with ADHD based on the quarter of the year in which they were born. The table also shows the proportion of all births during that quarter. Is it possible that younger students are being over-diagnosed with ADHD? Perform the appropriate x? test. State your parameters of interest, show your expected counts, your null and alternative hypotheses, your test statistic x? , and your p-value. Then write an appropriate conclusion. Birth Date Proportion of Births ADHD Diagnoses 6880 7982 Jan - Mar Apr- Jun Jul - Sep Oct - Dec 0.244 0.258 9161 0.257 8945 0.241

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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1) ADHD or Just Young? Were you one of the youngest or one of the oldest in your class in elementary school?
A new study examines whether 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
almost a million children between the ages of 6 and 12 in British Columbia, Canada. The cutoff date for
entering school in Canada is December 31, so those born in January are the oldest in any given class and those
born in December are the youngest. The table below shows the number of boys diagnosed with ADHD based
on the quarter of the year in which they were born. The table also shows the proportion of all births during
that quarter. Is it possible that younger students are being over-diagnosed with ADHD? Perform the
appropriate x? test. State your parameters of interest, show your expected counts, your null and alternative
hypotheses, your test statistic x?, and your p-value. Then write an appropriate conclusion.
Birth Date
Proportion of
ADHD
Diagnoses
Births
Jan - Mar
Apr - Jun
Jul - Sep
Oct - Dec
6880
0.244
7982
0.258
9161
0.257
8945
0.241
2) Zodiac Signs Does your zodiac sign predict how successful you will be later in life? Fortune magazine
collected the zodiac signs of 256 heads of the largest 400 companies. The table below shows the number of
births for each sign. Test to see whether births of successful people are uniformly distributed across all zodiac
signs. Your test should state the appropriate hypotheses, the test statistic x², a p-value, and a conclusion in
context based on that p-value.
Sign
Births
Aries
23
Taurus
20
Gemini
18
Cancer
23
Leo
20
Virgo
19
Libra
18
Scorpio
Sagittarius
Capricorn
Aquarius
21
19
22
24
Pisces
29
Transcribed Image Text:1) ADHD or Just Young? Were you one of the youngest or one of the oldest in your class in elementary school? A new study examines whether 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 almost a million children between the ages of 6 and 12 in British Columbia, Canada. The cutoff date for entering school in Canada is December 31, so those born in January are the oldest in any given class and those born in December are the youngest. The table below shows the number of boys diagnosed with ADHD based on the quarter of the year in which they were born. The table also shows the proportion of all births during that quarter. Is it possible that younger students are being over-diagnosed with ADHD? Perform the appropriate x? test. State your parameters of interest, show your expected counts, your null and alternative hypotheses, your test statistic x?, and your p-value. Then write an appropriate conclusion. Birth Date Proportion of ADHD Diagnoses Births Jan - Mar Apr - Jun Jul - Sep Oct - Dec 6880 0.244 7982 0.258 9161 0.257 8945 0.241 2) Zodiac Signs Does your zodiac sign predict how successful you will be later in life? Fortune magazine collected the zodiac signs of 256 heads of the largest 400 companies. The table below shows the number of births for each sign. Test to see whether births of successful people are uniformly distributed across all zodiac signs. Your test should state the appropriate hypotheses, the test statistic x², a p-value, and a conclusion in context based on that p-value. Sign Births Aries 23 Taurus 20 Gemini 18 Cancer 23 Leo 20 Virgo 19 Libra 18 Scorpio Sagittarius Capricorn Aquarius 21 19 22 24 Pisces 29
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