We observe = 0.4. If the standard deviation of the sampling distribution of is 0.03, what is the 95% confidence interval for p?
A) 0.37 to 0.43
B) 0.31 to 0.39
C) 0.34 to 0.46
D) 0.03 plus or minus 0.8
E) 99% accurate

Question

Quizplus · Accepted Answer

The 95% confidence interval is calculated as the observed proportion plus or minus 1.96 times the standard deviation of the sampling distribution. Thus, 0.4 ± 1.96 * 0.03 = 0.4 ± 0.0588, which is approximately 0.34 to 0.46.

We Observe = 0