Question

the statement represents a claim. write its complement and state which is ( h_{0} ) and which is ( h_{a} ).
( mu = 9.3 )
a. ( h_{0}: mu = 9.3 ) (claim); ( h_{a}: mu
eq 9.3 )
b. ( h_{0}: mu
eq 9.3 ); ( h_{a}: mu = 9.3 ) (claim)
c. ( h_{0}: mu geq 9.3 ) (claim); ( h_{a}: mu < 9.3 )
d. ( h_{0}: mu leq 9.3 ); ( h_{a}: mu > 9.3 ) (claim)

Explanation:

Step1: Understand null and alternative hypotheses

The null hypothesis \(H_0\) is a statement of equality. The alternative hypothesis \(H_A\) is a statement that contradicts \(H_0\).

Step2: Analyze the claim

The claim is \(\mu = 9.3\). The complement of \(\mu=9.3\) is \(\mu
eq9.3\). By convention, the null hypothesis \(H_0\) takes the form of equality when the original claim is an equality.

Answer:

A. \(H_0: \mu = 9.3\) (claim); \(H_a: \mu
eq9.3\)