Use the Following Information to Answer the Question

question 8

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

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Definitions:

Retirement Years

The period in an individual's life after leaving the workforce, typically marked by a focus on leisure, volunteer activities, and personal interests.

Lifelong Neighborhoods

Communities designed to support residents throughout all stages of life, with amenities and services accommodating various ages and needs.

African American

A term describing Americans with African ancestry, particularly those whose ancestors were enslaved and brought to the United States.

Older Adults

Refers to individuals typically aged 65 and older who are in a later stage of life, often characterized by retirement, increased leisure time, and various health considerations.