Consider the formula used for any confidence interval and the elements included in that formula. What happens to the confidence interval if you

increase the confidence level,
increase the sample size, or
increase the margin of error? Only consider one of these changes at a time. Explain your answer with words and by referencing the formula.

Solution:

To begin if we consider the formula: X ± Z s√n

“Where: X is the mean, Z is the chosen Z-value from the table, s is the standard deviation, and n is the number of samples” (MathsIsFun.com, 2017).

Therefore, Confidence Interval =

sample mean ± critical value x (Standarddeviation√Samplesize)(StandarddeviationSamplesize)

So now, let’s consider what happens to the confidence interval if we were to increase the confidence level. According to our text, “the level of confidence is the probability that interval estimate contains the population parameter”(Larson & Farber, 2015). Additionally, it “is the area under the standard normal curve between the critical values –z and z” (Larson & Farber, 2015). If we increase the confidence level this will directly affect the critical value and if we look at the table, we will find that as the confidence level increases so will…..Please click the Paypal icon below to purchase full solution for only $5