Refer to the data in Exercise 2 and, using all of the data from the 2000 seat belts that were tested, use a 0.05 significance level to test the claim that the rate of defects is greater than 3%.

The Flint Accessory Corporation manufactures seat belts for cars. Federal specifications require that the webbing must have a breaking strength of at least 5000 lb. During each week of production, 200 belts are randomly selectedand tested for breaking strength. A belt is considered defective if it breaks before reaching the force of 5000 lb. The numbers of defects for a sequence of 10 weeks are listed below. Use a control chart for p to verify that the process is within statistical control. If it is not in control, explain why it is not.

2 3 1 5 9 1 12 15 2 17