VIPSolutionsSuppose the null hypothesis, H0, is: a weightlifting bar can withstand weights of 800 pounds and less. What is α, the probability of a Type I error in this scenario? Select the correct answer below: a) the probability that you think the weightlifting bar can withstand weights of 800 pounds and less when, in fact, it cannot b) the probability that you think the weightlifting bar can withstand weights of 800 pounds and less when, in fact, it can c) the probability that you think the weightlifting bar cannot withstand weights of 800 pounds and less when, in fact, it can d) the probability that you think the weightlifting bar cannot withstand weights of 800 pounds and less when, in fact, it cannot
Question:
Suppose the null hypothesis, H0, is: a weightlifting bar can withstand weights of 800 pounds and less. What is α, the probability of a Type I error in this scenario? Select the correct answer below: a) the probability that you think the weightlifting bar can withstand weights of 800 pounds and less when, in fact, it cannot b) the probability that you think the weightlifting bar can withstand weights of 800 pounds and less when, in fact, it can c) the probability that you think the weightlifting bar cannot withstand weights of 800 pounds and less when, in fact, it can d) the probability that you think the weightlifting bar cannot withstand weights of 800 pounds and less when, in fact, it cannot
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Asked by: Test User 100193
Created at: 2025-05-10 17:32:36
Asked by: Test User 100193
Created at: 2025-05-10 17:32:36
Final Answer:
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Let's clarify:
- **Null hypothesis (H₀):** The bar can withstand weights of 800 pounds and less.
- **Type I error (α):** Rejecting the null hypothesis when it is actually true.
So, a Type I error in this context means **concluding that the bar cannot withstand weights of 800 pounds and less, when in reality, it actually can**.
Now let's match this to the options:
a) the probability that you think the weightlifting bar can withstand weights of 800 pounds and less when, in fact, it cannot
b) the probability that you think the weightlifting bar can withstand weights of 800 pounds and less when, in fact, it can
c) the probability that you think the weightlifting bar cannot withstand weights of 800 pounds and less when, in fact, it can
d) the probability that you think the weightlifting bar cannot withstand weights of 800 pounds and less when, in fact, it cannot
The correct answer is:
**c) the probability that you think the weightlifting bar cannot withstand weights of 800 pounds and less when, in fact, it can**
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