Question

Suppose that a population parameter is 0.3 and many large sample are taken from the population. If the sample proportions are normally distributed, with 99.7% of the sample proportions falling between 0.048 and 0.552, what is the standard deviation of the sample proportions?

A. 0.094
B. 0.084
C. 0.064
D. 0.074

Answer 1

Margin of error = (upper limit - lower limit) / 2
= (0.582 - 0.018) / 2
= 0.282
Margin of error = Confidence coefficient coefficient for 99.7% confidence level*Standard error of p
0.282 = 3*Standard error of p
Standard error of p = 0.282/3 = 0.094

Answer 2

ohh so standard of error is the same thing as standard deviation of sample proportions?

Answer 3

believe so!

Answer 4

ok thanks so much!!!

Answer 5

yea no problem!