Use the following information for questions:
A 95% confidence interval for the proportion of young adults who skip breakfast is found to be 0.20 to 0.27.
-From the information provided, we can determine that
A) $\hat{p}$ = 0.235 and margin of error = 0.035.
B) $\hat{p}$ = 0.235 and margin of error = 0.07.
C) p = 0.235 and margin of error = 0.035.
D) p = 0.235 and margin of error = 0.07.

Question

Use the following information for questions:
 A 95% confidence interval for the proportion of young adults who skip breakfast is found to be 0.20 to 0.27.
-From the information provided, we can determine that
A) $\hat{p}$ = 0.235 and margin of error = 0.035.
B) $\hat{p}$ = 0.235 and margin of error = 0.07.
C) p = 0.235 and margin of error = 0.035.
D) p = 0.235 and margin of error = 0.07.

Quizplus · Accepted Answer

The sample proportion $\hat{p}$ is the midpoint of the confidence interval, which is $(0.20 + 0.27) / 2 = 0.235$. The margin of error is half the width of the confidence interval, which is $(0.27 - 0.20) / 2 = 0.035$.

Use the Following Information for Questions: a 95% Confidence p^\hat{p}p^​

Use the Following Information for Questions:
a 95% Confidence $\hat{p}$