Use the Following Information to Answer the Question

Multiple Choice

Use the following information to answer the question. A janitor at a large office building believes that his supply of light bulbs has a defect rate that is different than the defect rate stated by the manufacturer. The janitor's null hypothesis is that the supply of light bulbs has a defect rate of p = 0.09 (the light bulb manufacturer's stated defect rate) . Suppose we do a hypothesis test with a significance level of 0.01. Symbolically, the null and alternative hypothesis are as follows: H₀: p = 0.09 and H_a: p > 0.09.
-The janitor calculates a p- value for the hypothesis test of approximately 0.113. Choose the correct interpretation for the p- value.

A) The p- value tells us that the true population rate of defective light bulbs is approximately 0.113.
B) The p- value tells us that the probability of concluding that the defect rate is equal to 0.09, when in fact it is greater than 0.09, is approximately 0.113.
C) The p- value tells us that if the defect rate is 0.113, then the probability that the janitor will have 33 defective light bulbs out of 300 is approximately 0.113. At a significance level of 0.01, this would not be an unusual outcome.
D) None of these