Question

Environmentalists concerned about the impact of high-frequency radio transmissions on birds found that there was no evidence of a higher mortality rate among hatchlings in nests near cell towers. They based this conclusion on a test using a = 0.05. Would they have made the same decision at a = 0.10? How about a 0.01? Explain Choose the correct answer below. A. Since the significance level is paramount in the experiment design, the researchers would have collected different data when using either a 0.10 or a 0.01, so it is impossible to determine whether they would have reached the same conclusion. B. The decision of whether to reject the null hypothesis is independent of the significance level, so they would reach the same decision using both a = 0.10 and a 0.01 C. At a 0.01, they would reach the same decision only if the P-value were less than 0.01. We know only that the P-value is less than 0.05, so we can't say. But we know that it must be less than 0.10, so at a = 0.10, they would also see insufficient evidence to reject the null hypothesis. D. At o 0.10, they would reach the same decision only if the P-value were greater than 0.10. We know only that the P-value is greater than 0.05, so we can't say. But we know that it must be greater than 0.01, so at a = 0.01, they would also see insufficient evidence to reject the null hypothesis.

Answer 1

Solution:

No evidence of higher mortality rate .

i.e. The null hypothesis is NOT rejected at 0.05 level.

So , p value is greater than 0.05.

So, p value is greater than 0.01 also.

But we do not tell anything at 0.10 level.

So answer is

D . At $\alpha$ = 0.10 , they would reach the same decision only if P value is greater than 0.10.We know the p value is greater than 0.05 , so we cant say . but we know that it must be greater than 0.0 , so at $\alpha$ = 0.01 , they would also see insufficient evidence to reject the null hypothesis .

Option D is correct.