Question

Are the following statements H0: l = 9 HA: l < 9 a valid pair of null and alternative hypotheses?A. No, there are no parameters contained in these statements.B. No, lt cannot be a parameter.C. Yes, these statements have two non-overlapping hypotheses and compare a parameter to a value.D. Yes, these statements have two non-overlapping hypotheses and compare two parameters.

Answer 1

C. Yes, these statements have two non-overlapping hypotheses and compare a parameter to a value

Explanation:

Hypothesis testing is a statistical method used for accepting or rejecting a statement in statistics. Hypotheses testing are of two types; the null and the alternative hypothesis. The former disproves a particular research statement while the latter (alternative hypothesis) accepts the proof of a statement. When a statement is accepted, it is known as an alternative hypotheses(HA) and when a statement is rejected, it is a null hypothesis (H0)

The statements in question are therefore valid pair of null and alternative hypotheses.

This statements are the hypothesis that compares a parameter to a value as shown;

H0: l = 9

HA: l < 9

H0 and HA are the hypothesis, I is the parameter and 9 is the value.

Based on the above explanation, it can be concluded that the statement above are valid pair of null and alternative hypothesis. They have two non-overlapping hypotheses and compare a parameter to a value.