What are the two types of hypotheses used in a hypothesis test? type I and type II null and alternative Your answer is correct. left-tailed and right-tailed population and sample How are they related? They sum to zero. One is a subset of the other. They are equal. They are complements.

There are two types of hypotheses tests. null and alternative

They are complements.

Step-by-step explanation:

There are two types of hypotheses tests. null and alternative

the table shows the summary of both tests.

True Situation                              DECISION

                                  Accept H0             Reject H0

                                                               (or accept Ha)

H0 is true          Correct decision       Wrong Decision

                            (no error)                     type I error          

H0 is false          Wrong Decision           Correct decision

                             type II error                 ( no error)    

The probability of making a type I error is conventionally denoted by alpha and that of committing a type II error is indicated by beta.

∝ = P ( type I error) = P (reject H0 / H0 is true)

β = P (type II error) = P (accept H0 / H0 is false)

When ∝ becomes larger, β tends to become smaller . There is inverse relationship between ∝ and β.

When H0 is true Ha is false when Ha is false H0 is true. So they are compliments of each other.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2