Question

Equality sign is always a part of alternate hypothesis. This statement is

a. Depends on data
b. Sometimes true
c. Always true
d. Never true

Answer 1

The statement that the equality sign is always a part of the alternative hypothesis is never true in hypothesis testing. The alternative hypothesis can be expressed using inequality symbols, and it does not necessarily include the equality sign.

Step-by-step explanation:

The statement that the equality sign is always a part of the alternative hypothesis is never true. In hypothesis testing, the alternative hypothesis (denoted as H or H₁) can be expressed using inequality symbols such as less than (<), greater than (>), or not equals (≠), and it does not necessarily include the equality sign. The null hypothesis and alternative hypothesis are always contradictory, with the null hypothesis having an equality symbol and the alternative hypothesis having inequality symbols. It is important to note that the choice of symbols in the null and alternative hypotheses depends on the wording and the context of the hypothesis test.

Answer 2

d. Never true

Step-by-step explanation:

Null hypotheses is a form of hypotheses, generally considered to be the opposite of alternative hypothesis, and it is used in a statistical research studies, that shows there is no significant difference between two measured populations, situations or conditions.

Also, the null hypothesis is based on the assumption that the premise is true until evidence proves otherwise.

Hence, null hypothesis which is represented as H0, always has a symbol with an EQUAL SIGN in it, others sign is "greater than or equal to(≥)", and "less than or equal to(≤)"

While the alternative hypothesis is represented with Ha, and never has a symbol with an EQUAL SIGN in it, but rather, "not equal to (≠)", "greater than (>)" and "less than (<)"