Question

claim: more than 3.6% of homes have only a landline telephone and no wireless phone. sample data: a survey by the national center for health statistics showed that among 12,428 homes 5.75% had landline phones without wireless phones. complete parts (a) and (b).
a. express the original claim in symbolic form. let the parameter represent a value with respect to homes that have only a landline telephone and no wireless phone.
p > 0.036
(type an integer or a decimal. do not round.)
b. identify the null and alternative hypotheses.
h₀:
h₁:
(type integers or decimals. do not round.)

Explanation:

Step1: Understand the null hypothesis concept

The null hypothesis \(H_0\) is a statement of equality. Since the claim is \(p> 0.036\), the null hypothesis will be \(p = 0.036\).

Step2: Understand the alternative hypothesis concept

The alternative hypothesis \(H_1\) is the claim we are trying to find evidence for. Here the claim is \(p>0.036\), so \(H_1:p > 0.036\)

Answer:

\(H_0:p = 0.036\)
\(H_1:p>0.036\)