Use the following information for questions:
In a past General Social Survey, 22% of n = 1006 respondents answered yes to the question "Are you a member of any sports groups?" A 95% confidence interval for the population proportion of Americans who belonged to a sports group at that time is 19.4% to 24.6%.
-Based on these results, you can reasonably conclude that
A) 22% is an acceptable possibility for the proportion of all Americans belonging to sports clubs, but 20% is not.
B) Neither 20% nor 22% are acceptable possibilities for the proportion of all Americans belonging to sports clubs.
C) Both 20% and 22% are acceptable possibilities for the proportion of all Americans belonging to sports clubs.
D) None of the above

Question

Use the following information for questions:
 In a past General Social Survey, 22% of n = 1006 respondents answered yes to the question "Are you a member of any sports groups?" A 95% confidence interval for the population proportion of Americans who belonged to a sports group at that time is 19.4% to 24.6%.
-Based on these results, you can reasonably conclude that
A) 22% is an acceptable possibility for the proportion of all Americans belonging to sports clubs, but 20% is not.
B) Neither 20% nor 22% are acceptable possibilities for the proportion of all Americans belonging to sports clubs.
C) Both 20% and 22% are acceptable possibilities for the proportion of all Americans belonging to sports clubs.
D) None of the above

Quizplus · Accepted Answer

Both 20% and 22% fall within the confidence interval of 19.4% to 24.6%, making them acceptable possibilities for the proportion of all Americans belonging to sports clubs.

Use the Following Information for Questions