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μ : Mean of variable sample size 94 99% confidence interval results: Variable Sample Mean Std....

μ : Mean of variable
sample size 94
99% confidence interval results:

Variable Sample Mean Std. Err. DF L. Limit U. Limit
original 3.0989362 0.017739741 93 3.0522854 3.1455869
  • From your data, what is the point estimate, p̂ of the population proportion?
  • Write down the confidence interval that you obtained. Interpret the result.
  • What is the margin of error?
  • Using the same data, construct a 98% confidence interval for the population proportion. Then, answer the following three questions:

(i) What happens to the length of the interval as the confidence level is increased?

(ii) How has the margin of error changed?

(iii) If the sample size is increased, what do you think will happen to the margin of error? Why?

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