Question

Define confidence interval and degree of confidence. Provide at least one example of a confidence interval and interpret the result.

Answer 1

1. A confidence interval can be defined as the probability that a population parameter will fall between two set values for a certain proportion of times.

2.  Degrees of Freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.

Example of confidence interval,

Suppose we have a 99% confidence interval of (0.122, 0.141) for the proportion of likely voters that approve a new measure.

Interpretation:-
“We are 99% confident that the proportion of all likely voters that approve the new measure is between 0.122 and 0.141”