The Marketing Manager of a Pharmaceutical Company Believes That More

Essay

The marketing manager of a pharmaceutical company believes that more females than males use its acne medicine. In a recent survey, 2500 teenagers were asked whether or not they use that particular product. The responses, categorised by gender, are summarised below. $$\begin{array} { | l | l | l | } \hline & \text { Use acne medicine } & \text { Don't use acne medicine } \\\hline \text { Female } & 540 & 810 \\\hline \text { Male } & 391 & 759 \\\hline\end{array}$$ a. Do these data provide enough evidence at the 10% significance level to support the manager's claim?
b. Estimate with 90% confidence the difference in the proportions of male and female users of the acne medicine.
c. Describe what the interval estimate in part b. tells you.