Previously, $8.6 \%$ of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 60 workers and finds that 8 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the $\alpha=0.05$ level of significance.
What are the null and alternative hypotheses?
\[
\mathrm{H}_{0}: \nabla \quad \square \text { versus } \mathrm{H}_{1} \text { : }
\]
(Type integers or decimals. Do not round.)
Answer
Final Answer: \(\boxed{\mathrm{H}_{0}: p = 0.086 \quad \text { versus } \mathrm{H}_{1} : p > 0.086}\)
Step 1 ：The null hypothesis (H0) is the statement that the economist wants to test. In this case, the null hypothesis is that the percentage of workers with a travel time to work of more than 60 minutes is still 8.6%.
Step 2 ：The alternative hypothesis (H1) is the statement that the economist believes to be true, which is that the percentage of workers with a travel time to work of more than 60 minutes has increased.
Step 3 ：Therefore, the null and alternative hypotheses are: H0: p = 0.086, H1: p > 0.086
Step 4 ：Final Answer: \(\boxed{\mathrm{H}_{0}: p = 0.086 \quad \text { versus } \mathrm{H}_{1} : p > 0.086}\)
