We are interested in testing to see if the variance of a population is less than 7. The correct null hypothesis is A) σ

Question

We are interested in testing to see if the variance of a population is less than 7. The correct null hypothesis is A) σ < 7. B) σ² ≥ 7. C) σ < 49. D) σ² ≥ 49.

Quizplus · Accepted Answer

The correct null hypothesis for testing if the variance of a population is less than a specific value (in this case, 7) should state that the population variance is greater than or equal to this value. This is because null hypotheses typically represent a statement of no effect or no difference, which in this context means assuming the variance is not less than 7 until evidence suggests otherwise. Therefore, the correct null hypothesis is $ \sigma^2 \geq 7 $.

We Are Interested in Testing to See If the Variance