Amanda read a report saying that 49\%49%49, percent 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 300300300 teachers from her state to test H_0:p=0.49H 0

:p=0.49H, start subscript, 0, end subscript, colon, p, equals, 0, point, 49 versus H_\text{a}:p \neq 0.49H
a

:p
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=0.49H, start subscript, start text, a, end text, end subscript, colon, p, does not equal, 0, point, 49, where ppp is the proportion of teachers in her state who are members of a labor union.
The sample results showed 134134134 teachers were members of a labor union, and the corresponding test statistic was z\approx-1.50z≈−1.50z, approximately equals, minus, 1, point, 50.
Assuming that the necessary conditions are met, what is the approximate P-value for Amanda's significance test?
You may round to three decimal places.

Answear is .133