A factory that produces corn tortillas makes a total of 40,000 tortillas in a batch. A batch is successful and can be shipped to a customer if no more than 5,000 of the tortillas are torn. The quality control
Agent for the company randomly picks 400 tortillas from the batch and finds that X are torn. Based on The technique of single-estimation, what value of X would make the batch not successful?
A) 0
B) 20
C) 40
D) 60
E) None of the above.

Question

Quizplus · Accepted Answer

The technique of single-estimation suggests that the sample proportion should match the population proportion for the batch to be considered successful. If no more than 5,000 out of 40,000 tortillas can be torn, this means that up to 12.5% (5,000/40,000) of the tortillas can be torn for the batch to be successful. In a sample of 400, this translates to 50 torn tortillas (12.5% of 400). Therefore, if more than 50 tortillas are found torn in the sample (e.g., 60 torn tortillas), the batch would not be considered successful.

A Factory That Produces Corn Tortillas Makes a Total of 40,000