The answer to propblem 15:52 (Moore, 4th edition) is in red. .The question \"Whe

Question

The answer to propblem 15:52 (Moore, 4th edition) is in red. .The question "When asked to explain the meaning of the p-value wasP=0.03, a student says "this means there is only probability 0.03that the null hypothesis is true." Is this essentially correctexplanation? explain your answer. I am finding it hard to undertand. How can I state this answerdifferently. Your help is appreciated

The answer that cramster has:
The answer that the student provided is not a correct explanationbecause P=0.03 means that data gives evidence against Ho so strongthat it would happen no more than 3% of the time. This meansmaximum limit in favor of Ho is 3% but it can have less than 3%also. As the Ho can be more or less that 3%, then the statement"This means there is only probability 0.03 that the nullhypothesis is true" is not correct. The answer to propblem 15:52 (Moore, 4th edition) is in red. .The question "When asked to explain the meaning of the p-value wasP=0.03, a student says "this means there is only probability 0.03that the null hypothesis is true." Is this essentially correctexplanation? explain your answer. I am finding it hard to undertand. How can I state this answerdifferently. Your help is appreciated

The answer that cramster has:
The answer that the student provided is not a correct explanationbecause P=0.03 means that data gives evidence against Ho so strongthat it would happen no more than 3% of the time. This meansmaximum limit in favor of Ho is 3% but it can have less than 3%also. As the Ho can be more or less that 3%, then the statement"This means there is only probability 0.03 that the nullhypothesis is true" is not correct.

Explanation / Answer

Grace's answer is incorrect. The P-value is a conditional probability. It is the probability ofobserving a sample statistic as extreme (or more extreme) than theone we did observe, given that the null hypothesis is true. A correct interpretation would be: if the null hypothesis is true,we would expect to see this sample statistic (mean or proportion)or something more extreme in about 3 out of every 100 randomsamples of the same size.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.