Answer:
a) true
The margin of error for a confidence interval for a population is equivalent to the standard deviation times the z-score value
Step-by-step explanation:
Margin of error:-
The margin of error for a confidence interval for a population is equivalent to the standard deviation times the z-score value.
Margin of error is defined by
[tex]M.E = \frac{Z_{\alpha } S.D }{\sqrt{n} }[/tex]
Here the population standard deviation is σ
Z- score at 95% of level of significance = 1.96 ≅2
The margin of error = [tex]\frac{2S.D }{\sqrt{n} }[/tex]
The margin of error for a 95% of confidence interval for a sample standard deviation times the t-score.
Margin of error = tₐ S/√n
here 'S' is the sample standard deviation
A precise confidence interval has a small margin of error. three factors determine the margin of error.
