For each of the following combinations of the p-value and alpha, decide whether

Question

For each of the following combinations of the p-value and alpha, decide whether you would reject or fail to reject the null hypothesis a) P-value=0.04 and alpha = 0.05 b) P-value=0.08 and alpha = 0.1 Consider the following large sample hypothesis tests for the population mean. Compute the p-value for each test and decide whether you would reject or fail to reject the n hypothesis at alpha = 0.05. a) H_0: mu = 15 Vs. H_a: mu > 15, Z=1.58 b) H_0: mu = 100 Vs. H_a: mu notequalto 100, Z = 1.90 Consider the following random sample of size 6 from a normal population. Based on the sample, perform a hypothesis test for the claim that the mean of the population is not equal to 10 at alpha= = 0.05. 10, 15, 12, 9, 11, 10

Explanation / Answer

18) Remember this rule:

a) A small p-value (typically 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis. A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.

Here, p value < alpha, so reject the null hypothesis.

b) Here, p value < alpha, so reject the null hypothesis.

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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