Use the Following Information to Answer the Question

question 38

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

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Definitions:

Interrelated

Things or concepts that are connected or related to each other in such a way that they influence or affect one another.

Contrast

The state of being strikingly different from something else in juxtaposition or close association, emphasizing differences between two or more items.

Criteria

Standards or principles by which something may be judged or decided.

Dealership

A business establishment authorized by a manufacturer to sell its products, typically referring to automotive vehicles.