When a researcher sets alpha = 05, he is willing to accept a ____ probability or

Question

When a researcher sets alpha = 05, he is willing to accept a ____ probability or less that he rejects the null hypothesis when it is actually true. Use the following Distributions tool to identify the boundaries that separate the extreme samples from the samples that are more obviously consistent with the null hypothesis. Assume the hypothesis is non directional, meaning that the critical region is split across both tails of the distribution. The z-score boundaries at an alpha level alpha = 05 are: z = 1.96 and z = 1.96 z = 3.29 and x = -3.29 To use the tool to identify the z-score boundaries, click on the icon with two orange lines, and slide the orange lines until the area in the critical region equals the alpha level. Remember that the probability will need to be split between the two tails. To use the tool to help you evaluate the hypotheses, click on the icon with the purple line, l place the two orange lines on the critical values, and then place the purple line on the 2 statistic.

Explanation / Answer

When a researcher sets alpha=0.05, he is willing to accept a 0.05 probability and less that he rejects the null hypothesis when it is true. [ By definition of the level of significance] The z-score boundaries at alpha=0.05 : z=1.96 and z=-1.96. [ Za= Upper 100a% point of N(0,1) distribution, here a=0.025] The z-score boundaries at alpha=0.001 : z= 3.29 and z=-3.29. [ Za= Upper 100a% point of N(0,1) distribution, here a=0.0005]

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

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