Question

National Institutes of Health recommends that the healthy adults take at least 50 nmol/L of vitamin D per day. Suppose that you are interested in finding out if the BSU students are suffering from vitamin D deficiency or not.

(a) Formulate the appropriate null and alternative hypotheses. Clearly define the parameter of interest in the context of the problem.

(b) Suppose that a researcher sampled 60 BSU students and measured their daily vitamin D intake. If the experiment resulted in the sample mean of 46 nmol/L and P-value of 0.27, state the meaning of this value in the context of the problem.

Answer 1

Answer:

a)

Null hypothesis

Ho : u >= 50

Alternative hypothesis

Ha : u < 50

b)

Here we observe that, p value is greater than alpha i.e.,(0.27 > 0.05), so we fail to reject the null hypothesis.

An we conclude that we don't have enough evidence.