Healthy bones The recommended daily allowance

(RDA) of calcium for women between the ages of 18 and 24 years is 1200 milligrams (mg). Researchers who were involved in a large-scale study of women’s bone health suspected that their participants had significantly lower calcium intakes than the RDA. To test this suspicion, the researchers measured the daily calcium intake of a random sample of 36 women from the study who fell in the desired age range. The Minitab output below displays the results of a significance test.

One-Sample T: Calcium intake (mg)

Test of mu = 1200 vs < 1200 Variable N Mean StDev SE Mean T P Calcium 36 856.2 306.7 51.1 −6.73 0.000

(a) Do these data give convincing evidence to support the researchers’ suspicion? Justify your answer.

(b) Interpret the P-value in context.