Question

A security expert claims that exactly 13​% of all homeowners have a home security alarm. State H0 and Ha in words and in symbols. Then determine whether the hypothesis test for this claim is​ left-tailed, right-tailed, or​ two-tailed. Explain your reasoning.

Answer 1

Two tailed

Explanation:

Given that a security expert claims that exactly 13​% of all homeowners have a home security alarm.

Here we have to check whether the contention of security expert is correct or not

The test is to be done for the proportion of homeowners who have a home security alarm to total homeowners.

Let p be the proportion.

For this we set up hypotheses as:

`H_0 = p = 13%=0.13\\H_a: p \\eq 0.13`

This is a two tailed test

Because alternate is for not equal to. If alternate is for > or < we say one tailed and if not equal to we say two tailed.