Answer:
True
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which z is related to the confidence level(the higher the confidence level the higher z is), s is related to the standard deviation and n is the size of the sample.
A higher confidence level leads to a larger margin of error, that is, a wider interval. The interval expands around it's lower and upper bounds, which means that if a value is part of a lower confidence interval(such as 95%), it will be part of the higher(such as 99%), and the answer to this question is true.
