A company claims that the average lifespan of their light bulbs is 1000 hours. A consumer advocacy group wants to test this claim. What are the correct null and alternative hypothe... A company claims that the average lifespan of their light bulbs is 1000 hours. A consumer advocacy group wants to test this claim. What are the correct null and alternative hypotheses for the consumer advocacy group? A) H0: μ ≠ 1000, Ha: μ = 1000 B) H0: μ ≥ 1000, Ha: μ < 1000 C) H0: μ ≤ 1000, Ha: μ > 1000 D) H0: μ = 1000, Ha: μ ≠ 1000
Understand the Problem
The question is asking for the correct formulation of null and alternative hypotheses related to the lifespan claim of light bulbs made by a company. The null hypothesis typically represents a statement of no effect or no difference, while the alternative hypothesis represents the statement we want to test.
Answer
H0: μ = 1000, Ha: μ ≠ 1000
The correct null and alternative hypotheses are: H0: μ = 1000, Ha: μ ≠ 1000.
Answer for screen readers
The correct null and alternative hypotheses are: H0: μ = 1000, Ha: μ ≠ 1000.
More Information
The null hypothesis (H0) represents the company's claim that the average lifespan is 1000 hours. The alternative hypothesis (Ha) reflects the consumer advocacy group's interest in challenging this claim, suggesting that the mean lifespan is different from 1000 hours.
Tips
A common mistake is swapping the null and alternative hypotheses. Remember, the null hypothesis is usually a statement of no effect or status quo.
Sources
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