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 too many defective bulbs. The janitor's null hypothesis is that the supply of light bulbs has a defect rate of p = 0.07 (the light bulb manufacturer's stated defect rate) . Suppose he does a hypothesis test with a significance level of 0.05.
Symbolically, the null and alternative hypothesis are as follows: H₀: p = 0.07 and H_a: p > 0.07.
-The janitor calculates a p- value for the hypothesis test of approximately 0.087. Choose the correct interpretation for the p- value.

A) The p- value tells us that the probability of concluding that the defect rate is equal to 0.07, when in fact it is greater than 0.07, is approximately 0.087.
B) The p- value tells us that the true population rate of defective light bulbs is approximately 0.087.
C) The p- value tells us that if the defect rate is 0.07, then the probability that the janitor will have 27 defective light bulbs out of 300 is approximately 0.087. At a significance level of 0.05, this would not be an unusual outcome.
D) None of these