A poll finds that 54% of the 600 people polled favor the incumbent. Shortly after, it is disclosed that the incumbent had an extramarital affair. A new poll finds that 50% of 1030 people polled now favor the incumbent.

What is the standard error for a confidence interval for the candidate's latest support level?

A. 0.016
B. 0.00025
C. 0.020

The standard error for a confidence interval for the candidate's latest support level is 0.016. The subject of this question is related to the concept of confidence intervals in statistics. The context used is an opinion poll in which the popularity of an incumbent is examined before and after the disclosure of an extramarital affair.

To calculate the standard error (SE) for a confidence interval for a proportion, we need to use the formula SE = sqrt[p(1-p)/n], where p is the proportion (in this case, the incumbent's favorability), and n is the sample size. For the latest favorability poll, p = 0.50 and n = 1030. Substituting these into the formula, we get SE = sqrt[0.50*(1-0.50)/1030] = 0.0156.

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