Since previous studies have reported that elite athletes are often deficient in their nutritional intake (e.g., total calories, carbohydrates, protein), a group of researchers decided to evaluate Canadian high performance athletes.23 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 kcal/day. The recommended amount is 2811.5 kcal/day. Is there evidence that female Canadian athletes are deficient in the caloric intake?
Use a = 0.05 for each problem. Go through each of the following steps for the problem.
State the null and alternative hypotheses.
State the significance level for this problem.
Calculate the test statistic. (Please explain what allowed you to use the particular distribution you choose before calculating your test statistic. Then, write out the correct formula and show your work.)
State the P-value (using probability notation).
State whether you reject or do not reject the null hypothesis and give a reason why.
State your conclusion in context of the problem (i.e. interpret your results by answering the question posed).