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Moderate

What Is the Largest Confidence Level? $2$-sided Test

APSTAT-GLCBNX

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 $0.08$?

A

$90\%$

B

$92\%$

C

$94\%$

D

$95\%$

E

$99\%$