Antibiotics in Infancy

Exercise 2.19 describes a Canadian longitudinal study that examines whether giving antibiotics in infancy increases the likelihood that the child will be overweight later in life. The study included 616 children and found that 438 of the children had received antibiotics during the first year of life. Test to see if this provides evidence that more than 70% of Canadian children receive antibiotics during the first year of life.

(a) State the null and alternative hypotheses

(b) Calculate the z-statistic.

(c) Find the p-value.

(d) Make a generic conclusion about the null hypothesis, using α = 0.05

(e) Make a conclusion in context.