Question

Data for this analysis was collected over many years of class. You can assume that this...

Data for this analysis was collected over many years of class. You can assume that this data represents samples selected from larger groups of students.

Students in a business statistics class were asked to agree/disagree with the following statement at the end of the class: "I really enjoyed this class."

A study was conducted to determine if a difference existed between the responses of students in two different teaching methods used - traditional live teaching and online teaching. The Statistix printout is shown below.

Hypothesis Test - Two Proportions

Sample
Size Successes Proportion
Live Class 500 440 0.88000
Online Class 500 420 0.84000
Difference 0.04000

Null Hypothesis: p1 = p2
Alternative Hyp: p1 ? p2

SE (difference) 0.02195
Z (uncorrected) 1.82 P 0.0683

95% Confidence Interval of Difference
-0.00301 < p1-p2 < 0.08301

Based on the confidence interval, what conclusion can we make concerning the two population proportions?

We are 95% confident the proportion of all students in the live class who agreed with the statement exceeded the proportion of all students in the online class who agreed with the statement.
We are 95% confident the proportion of all students in the live class who agreed with the statement equals the proportion of all students in the online class who agreed with the statement.
We are 95% confident the proportion of all students in the live class who agreed with the statement is less than the proportion of all students in the online class who agreed with the statement.
At the 95% confidence level, we cannot determine which population proportion is bigger.

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