An article describes the results of an experiment. Students were randomly assigned to the two groups. One group was a control group of students who used source A while preparing for the test. Of the 54 students in this group, 31 passed the test. Those in the second group used source B while preparing for the test. Of the 48 students in the supplement group, 17 passed the test. Construct and interpret a 95% confidence interval for the difference in the proportion of students who passed the test using source A and the proportion of students who passed the test using source B.
A)CI: ; Because both endpoints of the interval are negative, you would conclude that the proportion of students who passed the test using source B is greater than the proportion of students who passed the test using source A by somewhere between 0.139 and 0.301.
B)CI: ; Because both endpoints of the interval are negative, you would conclude that the proportion of students who passed the test using source B is greater than the proportion of students who passed the test using source A by somewhere between 0.031 and 0.409.
C)CI: ; Because 0 is included in the confidence interval, you can conclude that the proportion of students who passed the test using source A and the proportion of students who passed the test using source B could be equal.
D)CI: ; Because both endpoints of the interval are positive, you would conclude that the proportion of students who passed the test using source A is greater than the proportion of students who passed the test using source B by somewhere between 0.031 and 0.409.
E)CI: ; Because both endpoints of the interval are positive, you would conclude that the proportion of students who passed the test using source A is greater than the proportion of students who passed the test using source B by somewhere between 0.139 and 0.301.

Question

An article describes the results of an experiment. Students were randomly assigned to the two groups. One group was a control group of students who used source A while preparing for the test. Of the 54 students in this group, 31 passed the test. Those in the second group used source B while preparing for the test. Of the 48 students in the supplement group, 17 passed the test. Construct and interpret a 95% confidence interval for the difference in the proportion of students who passed the test using source A and the proportion of students who passed the test using source B.
A)CI: ; Because both endpoints of the interval are negative, you would conclude that the proportion of students who passed the test using source B is greater than the proportion of students who passed the test using source A by somewhere between 0.139 and 0.301. 
B)CI: ; Because both endpoints of the interval are negative, you would conclude that the proportion of students who passed the test using source B is greater than the proportion of students who passed the test using source A by somewhere between 0.031 and 0.409. 
C)CI: ; Because 0 is included in the confidence interval, you can conclude that the proportion of students who passed the test using source A and the proportion of students who passed the test using source B could be equal. 
D)CI: ; Because both endpoints of the interval are positive, you would conclude that the proportion of students who passed the test using source A is greater than the proportion of students who passed the test using source B by somewhere between 0.031 and 0.409. 
E)CI: ; Because both endpoints of the interval are positive, you would conclude that the proportion of students who passed the test using source A is greater than the proportion of students who passed the test using source B by somewhere between 0.139 and 0.301.

Quizplus · Accepted Answer

The Answer of An article describes the results of an experiment. Students were randomly assigned to the two groups. One group was a control group of students who used source A while preparing for the test. Of the 54 students in this group, 31 passed the test. Those in the second group used source B while preparing for the test. Of the 48 students in the supplement group, 17 passed the test. Construct and interpret a 95% confidence interval for the difference in the proportion of students who passed the test using source A and the proportion of students who passed the test using source B.
A)CI: ; Because both endpoints of the interval are negative, you would conclude that the proportion of students who passed the test using source B is greater than the proportion of students who passed the test using source A by somewhere between 0.139 and 0.301. 
B)CI: ; Because both endpoints of the interval are negative, you would conclude that the proportion of students who passed the test using source B is greater than the proportion of students who passed the test using source A by somewhere between 0.031 and 0.409. 
C)CI: ; Because 0 is included in the confidence interval, you can conclude that the proportion of students who passed the test using source A and the proportion of students who passed the test using source B could be equal. 
D)CI: ; Because both endpoints of the interval are positive, you would conclude that the proportion of students who passed the test using source A is greater than the proportion of students who passed the test using source B by somewhere between 0.031 and 0.409. 
E)CI: ; Because both endpoints of the interval are positive, you would conclude that the proportion of students who passed the test using source A is greater than the proportion of students who passed the test using source B by somewhere between 0.139 and 0.301.

An Article Describes the Results of an Experiment