Question

At most 17At most 17​% of all homeowners have a home security alarm. Determine whether the hypothesis test for this claim is​ left-tailed, right-tailed, or​ two-tailed. Explain your reasoning. The hypothesis test is right dash tailedright-tailed because the ▼ hypothesis contains ▼ .

Answer 1

For the given scenario, the null and alternative hypotheses are given as below:

Null hypothesis: H₀: At most 17% of all homeowners have a home security alarm.

Alternative hypothesis: H_a: More than 17% of all homeowners have a home security alarm.

H₀: p ≤ 0.17

H_a: p > 0.17

So, this is right-tailed or upper tailed (one tailed) test.

This is a right tailed test.

The hypothesis test is right-tailed because the alternative hypothesis contains ‘greater than’.