quiz-2sd-confidence-intervals-categorical-variable

A statistical study was completed resulting in a hat{p}
p ^
of 0.687. The sample size was LaTeX: n=128
n = 128
. Use this information to answer the next 2 questions. Use the formula LaTeX: hat{p} pm 2times sqrt{dfrac{hat{p}(1-hat{p}}{n}}
p ^ ± 2 × p ^ ( 1 p ^ n
.

1. What is the margin-of-error for a 2SD confidence interval? Round to 3 decimal places. Use this value for the next two questions.

2. What is the lower bound of the 2SD 95% CI? Use the MOE from the previous question. Round to 3 decimal places.

3. What is the upper bound of the 2SD 95% CI? Use the rounded MOE from 2 questions back. Round to 3 decimal places.

A 95% CI constructed using the 2SD method is (0.4562,0.5614). Work backwards to deconstruct this CI to answer the next 3 questions using this. There is a problem similar to this in the notes.

1. What is the value of hat{p}
p ^ ? Round to 4 decimal places.

2. What is the margin-of-error? Round to 4 decimal places.

3. What is the value of the SE of hat{p}
p ^ ? Round to 4 decimal places.