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What Is the Largest Confidence Level? $1$-sided Test

APSTAT-TNAXBB

A one proportion $z$-test was used to conduct a test of the null hypotheses:

$$H_0: p = 0.8$$
$$H_a: p < 0.8$$

The $p$-value was $0.047$. 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 $0.08$?

A

$90\%$

B

$91\%$

C

$92\%$

D

$94\%$

E

$95\%$