A one proportion $z$-test was used to conduct a test of the null hypotheses:
$$H_0: p = 0.8 $$
$$H_A: p \neq 0.8$$
The $p$-value was $0.062$. A confidence interval for $p$ is to be constructed.
Of the following, which is the largest level of confidence for which the confidence interval will NOT contain $0.08$?