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 alpha=0.05. Would they have made the same decision at alpha=0.10? How about alpha=0.01? Explain. (Hint: It would help if you write the null and alternative hypotheses).

Please show all work. Typed work only. no handwritten.

Answer 1

Given Data

Environmentalist concern about the high impact of the high-frequency ratio transmission on birds that there was no evidence of a higher mortality rate. Among hatchings in nests near cell towers

test using =0.05

* To have made the same decision at =0.10...?

from using the one tailed test.

=0.05

The z critical value ip; z/2 = 0.05/2

=0.025

Z0.025=10.645 (from standard table)

so,

we don't reject null hypotheis

so,

if =0.10

The Z critical value is z/2 = 0.10/2

=0.05

Z0.05=1.28

(0.10) is less than Z(0.05)

so,

we can not be certain to made same decision

* To have made the same decision at = 0.01..?

  =0.01

The critical value is Z/2 = 0.01/2

= 0.005

Z0.005= 2.33

we know that Z00.05 is less than z0.01

=1.645 is less than 2.33

so,

we still not resist now hypothesis at 0.01

we can be certain to have made the same decision at

= 0.01

HENCE PROVED.....