Question

claim: more than 4.4% 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 12,740 homes 5.81% 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 > 0.044
(type an integer or a decimal. do not round.)
b. identify the null and alternative hypotheses.
h₀:
h₁:
(typ decimals. do not round.)

Explanation:

Step1: Understand the claim

The claim is "More than 4.4% of homes have only a landline telephone and no wireless phone". Let \( p \) be the proportion of such homes. So the claim in symbolic form is \( p>0.044 \).

Step2: Formulate null and alternative hypotheses

The null hypothesis \( H_0 \) is the statement of equality. So \( H_0:p = 0.044 \). The alternative hypothesis \( H_1 \) is the claim. Since the claim is \( p>0.044 \), \( H_1:p>0.044 \)

Answer:

a. \( p>0.044 \)
b. \( H_0:p = 0.044 \), \( H_1:p>0.044 \)