Amanda read a report saying that 49% of teachers in the United States were members of a labor union. She wanted to test whether this was true in her state, so she took a random sample of 300 teachers from her state to test H₀ : p = 0.49 versus Hₐ : p ≠ 0.49 , where p is the proportion of teachers in her state who are members of a labor union. Find the z and show full work