Which estimate at a 95% confidence level most likely comes from a small
sample?
O A. 82% (16%)
B. 93% (18%)
O C. 87% (+24%)
O D. 78% (+4%)
SUBMIT

Respuesta :

Using the margin of error of a confidence interval, it is found that the estimate that most likely comes from a small sample is given by:

C. 87% (+24%)

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

  • [tex]\pi[/tex] is the sample proportion.
  • z is the critical value.
  • n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

From this, we get that smaller sample sizes lead to larger margin of errors. In this problem, option C has the larger margin of error, hence it most likely used the smallest sample size.

More can be learned about confidence intervals at https://brainly.com/question/25890103

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