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.

Answer 1

Answer:

No, we cannot conclude anything about 0.10

Yes, they have made the same decision.

Step-by-step explanation:

Consider the provided information.

Part (A)

They based this conclusion on a test using α = 0.05. Would they have made the same decision at α = 0.10

A significance level of 0.05 indicates a 5% risk of concluding that a difference exists

From the normal table the critical value is Z(0.05) = 1.645 and we accept null hypothesis.

If α = 0.1, the critical value is Z(0.1)=1.28

1.28 is less than 1.645.

Therefore, we cannot conclude anything about 0.10

Part (B)

α = 0.01, the critical value is Z(0.01)=2.33

The critical value of α = 0.05 is 1.645 which is less than 2.33,

So we would again reject the null hypothesis.

Hence, they have made the same decision.