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Confidence Interval Critical Value Error

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In a survey of 550 young adults, the sample proportion was p^=0.42\hat{p} = 0.42. When constructing a 99% confidence interval for the population proportion, a researcher used a critical value of z∗=2.33z^* = 2.33 instead of the correct value, z∗=2.576z^* = 2.576. Which of the following describes the error made?

A

She misinterpreted the confidence level as exceeding 99%.

B

She incorrectly calculated the standard error instead of the critical value.

C

She confused the sample size with the margin of error.

D

She should have used the tt-distribution since the population standard deviation is unknown.

E

She used the incorrect critical z-value for a 99% confidence level.

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