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A one sample $t$-test for was used to conduct a test of the null hypotheses:

$${ H }_{ 0 }:\mu =23.7$$
$${ H }_{ a }:\mu \neq 23.7$$

The $p$-value was $0.034$. A confidence interval for $\mu$ is to be constructed.

Of the following, which is the largest level of confidence for which the confidence interval will NOT contain $23.7$?

A

$90\%$

B

$95\%$

C

$96\%$

D

$97\%$

E

$99\%$

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