A company is started by four friends. The company was Erica’s idea, so she wants to fill 70 percent of the orders. Jen, Heather, and Tonya each agree to fill 10 percent of the orders. After a successful first year, Erica wants to determine if the distribution of the number of orders filled is adhering to the agreed-upon percentages. To do so, she selects a random sample of 100 orders from the large number of orders that were filled and determines who filled the order. Are the conditions for inference met?
Answer
A
No, the Large Counts condition is not met.
B
Yes, all of the conditions for inference are met.
C
No, the random condition is not met.
D
No, the 10 percent condition is not met.
Explanation
The sample is random, and the expected counts under the agreed percentages are 70 orders for Erica and 10 each for Jen, Heather, and Tonya. All expected counts are at least 5, so the Large Counts condition is met; because 100 orders are sampled from a large number of orders, the 10 percent condition is also met. Therefore, all conditions for inference are met.
AI-written and checked against the verified answer.