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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

The Marketing Manager of a Pharmaceutical Company Believes That More