Question

the statement represents a claim. write its complement and state which is ( h_0 ) and ( p leq 0.84 ) a. ( h_0: p = 0.84; h_a: p
eq 0.84 ) (claim) b. ( h_0: p geq 0.84 ) (claim); ( h_a: p lt 0.84 ) c. ( h_0: p gt 0.84; h_a: p leq 0.84 ) (claim) d. ( h_0: p leq 0.84 ) (claim); ( h_a: p gt 0.84 )

Explanation:

Step1: Understand null and alternative hypotheses

The null hypothesis \(H_0\) is a statement of equality or no difference. The alternative hypothesis \(H_a\) is the complement of the null hypothesis.

Step2: Find the complement of \(p\leq0.84\)

The complement of \(p\leq0.84\) is \(p > 0.84\).

Step3: Identify \(H_0\) and \(H_a\)

Since the claim is \(p\leq0.84\), we set \(H_0:p\leq0.84\) (claim) and \(H_a:p > 0.84\)

Answer:

D. \(H_0:p\leq0.84\) (claim); \(H_a:p > 0.84\)