Setting Up Tests for Population Proportion Practice Test

A restaurant chain reports that 70% of customers rate their experience as “satisfied” or “very satisfied.” A random sample of 150 customers is surveyed, and 96 give a satisfied rating ($\hat{p}=0.64$). Which hypotheses are appropriate for determining whether the reported proportion is accurate?

A political analyst claims that exactly 50% of adults in a state approve of the governors performance. A random sample of 1000 adults finds that 540 approve (so $

\hat{p}=540/1000$). Which hypotheses are appropriate to test whether approval differs from the analysts claim?