Question

6.74 Nutritional intake among Canadian high-performance athletes. 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 201 women was 2403.7 kilocalories per day (kcal/d). The recommended amount is 2811.5 kcal/d. Is there evidence that female Canadian athletes are deficient in caloric intake? arhobydrates, proteim), a group 23 () State the appropriate Ho and Ha to test this. (b) Assuming a standard deviation of 880 kcal/d, carry out the test. Give the P-value, and then interpret the result in plain language.

Answer 1

A) H₀:   = 2811.5

H₁: < 2811.5

B) The test statistic z = ()/()

= (2403.7 - 2811.5)/(880/)

= -6.57

P-value = P(Z < -6.57)

= 0

At alpha = 0.05, Since the P-value is less than the significance level (0 < 0.05), so we should reject the null hypothesis.

So at 0.05 significance level there is sufficient evidence to conclude that the female Canadian athletes are deficient in caloric intake.