Question

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.

Answer 1

There are two types of hypotheses tests. null and alternative

They are complements.

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.