Since previous studies have reported that elite athletes are often deficient in
ID: 2936648 • Letter: S
Question
Since previous studies have reported that elite athletes are often deficient in their nutritional intake (for example, total calories, carbohydrates, protein), a group of researchers decided to evaluate Canadian high-performance athletes. A total of
n = 324 athletes
from eight Canadian sports centers participated in the study. One reported finding was that the average caloric intake among the
n = 208 women
was 2,403.7 kilocalories per day (kcal/d). The recommended amount is 2,807.5 kcal/d. Is there evidence that female Canadian athletes are deficient in caloric intake? Is this result significant at the 5% level?
(a) State the appropriate
H0
and
Ha
to test this.
(b) Assuming a standard deviation of 850 kcal/d, carry out the test. (Round your value for z to two decimal places and round your P-value to four decimal places.)
Z Value=? P value =?
Interpret the result in plain language.
No interpretation can be made.
There is strong evidence of above-recommended caloric consumption among female Canadian high-performance athletes.
There is weak evidence of below-recommended caloric consumption among female Canadian high-performance athletes.
There is weak evidence of above-recommended caloric consumption among female Canadian high-performance athletes.
There is strong evidence of below-recommended caloric consumption among female Canadian high-performance athletes.
Explanation / Answer
The statistical software output for this problem is:
One sample Z summary hypothesis test:
: Mean of population
H0 : = 2807.5
HA : < 2807.5
Standard deviation = 850
Hypothesis test results:
Hence,
a) Ho: = 2807.5
HA : < 2807.5
b) z = -6.85
p - Value = 0.0000
c) There is strong evidence of below-recommended caloric consumption among female Canadian high-performance athletes.
Option D is correct.
Mean n Sample Mean Std. Err. Z-Stat P-value 208 2403.7 58.936896 -6.8513958 <0.0001