The police department supplies its officers with a flashlight that contains four batteries. The company that manufacturers the flashlights is required to verify the reliability of the batteries that are included in the flashlight when it is shipped to the police department. The quality control department states that at most 15% of its batteries are defective. The four batteries were inspected in a random sample of 300 flashlights, and the numbers of defective batteries are listed in the following table.

a. Estimate p, the probability that a battery is defective.
b. Place a 95% confidence interval on π.
c. Is there strong evidence to refute the claim that at most 15% of its batteries are defective?

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0 1 3 4Total 100 126 60 13 1 300 Number of defective batteries Frequency