Please note these two questions are just multiple choices and no calculations ne
ID: 3369402 • Letter: P
Question
Please note these two questions are just multiple choices and no calculations needed
1A
In 2013, Gallup conducted a poll and found a 95% confidence interval of 0.52 < p < 0.60, where p is the proportion of Americans who believe it is the government’s responsibility for health care. Select the most correct statistical interpretation:
Question options:
A) "We estimate with 95% confidence that the true proportion of Americans who believe it is the government’s responsibility for health care is 95%."
B) "We estimate with 52% to 60% confidence that the true proportion of Americans who believe it is the government’s responsibility for health care is 95%".
C) "We estimate with 52% to 60% confidence that the true proportion of Americans who believe it is the government’s responsibility for health care is between 0.52 and 0.60 (that is, between 52% and 60%)".
D) "We estimate with 95% confidence that the true proportion of Americans who believe it is the government’s responsibility for health care is between 0.52 and 0.60 (that is, between 52% and 60%)".
1B.
Suppose you compute a confidence interval with a sample size of 100. What will happen to the confidence interval if the sample size decreases to 80?
Question options:
A) Confidence interval will become narrower if the sample size is decreased.
B) Sample size will become wider if the confidence interval decreases
C) Confidence interval will become wider if the sample size is decreased.
D) Sample size will become wider if the confidence interval increases
Explanation / Answer
Answer : 1A)
D) "We estimate with 95% confidence that the true proportion of Americans who believe it is the government’s responsibility for health care is between 0.52 and 0.60 (that is, between 52% and 60%)".
1B) C) Confidence interval will become wider if the sample size is decreased.