Question

Which of the following hypothesis tests are set up correctly? If they are not setup correctly, what is wrong with them? H 0: p = 15, H a: p > 15 H 0: μ = 25, H a: μ = 45 H 0: p ≠ 0.30, H a: p = 0.30 H 0: p y − p x = 0, H a: p y = p x H 0: μ d i f f ≠ 0, H a:

Answer 1

Solution:

Correct hypothesis:

H 0: p = 15, H a: p > 15

Incorrect Hypothesis:

H 0: μ = 25, H a: μ = 45

Valid signs in Ha are , < , >

Also , hypothetical value must be same in H0 and Ha

H 0: p ≠ 0.30, H a: p = 0.30

Valid signs in H0 are = , ,  

Valid signs in Ha are , < , >

H 0: p y − p x = 0, H a: p y = p x

Here , both hypothesis are same. It is not possible. H0 are Ha should be complementary for each other.

H 0: μ d i f f ≠ 0, H a:

Valid signs in H0 are = , ,  

Valid signs in Ha are , < , >