Create and Interpret a Confidence Interval for the Difference of Two

question 13

Multiple Choice

Create and interpret a confidence interval for the difference of two proportions.
-Before being released to market, a drug company tests a new allergy medication for
Potential side effects. A random sample of 160 individuals with allergies was selected for
The study. The new allergy medication was randomly assigned to 80 of them, and another
Popular allergy medication already on the market (Brand C) was assigned to the rest. Out
Of the 80 given the new allergy medication, 14 reported drowsiness; 22 of the 80 taking
Brand C reported drowsiness. The 95% confidence interval for the difference in
Proportions reporting drowsiness is -0.028 to 0.228. Which of the following is correct?

• A) We are 95% confident that there is no difference between the proportions of patients reporting drowsiness for the two allergy medications.
• B) We are 95% confident that there is a difference between the proportions of patients reporting drowsiness for the two allergy medications.
• C) We are 95% confident that the proportion of patients reporting drowsiness is higher for the new allergy medication.
• D) We are 95% confident that the proportion of patients reporting drowsiness is lower for the new allergy medication.
• E) There will be a significant difference between the proportions 95% of the time.

---

Definitions:

Merchandise Inventory

Goods or stock held by a business for the purpose of resale to customers.

Purchase Discounts

Reductions in price given by suppliers for early payment or bulk purchasing.

Controlling Account

A general ledger account that summarizes the total balances of several subsidiary accounts.

Accounts Payable

Liabilities to suppliers or creditors for items or services purchased on credit.