This question is for a homework assignment:
Suppose that in a random sample of size 100, the standard deviation of the sampling distribution of the sample proportion is 0.08. If a researcher wanted to reduce the standard deviation to 0.04, what sample size would be required?
a) 100 b) 200 c) 400 d) 800 e) 1600
This is verbatim from the worksheet, and I was trying to input it into formulas such as the (std. dev)/sqrt(sample size); however, I keep getting answers that don't line up. I was getting n=4 which doesn't make sense at all. The way I got that was by inputting my known initial standard deviation of .08 in the numerator and by leaving the denominator as unknown. Then, I set the whole fraction equal to .04, my desired reduced standard deviation. Finally, I solved for my unknown variable n, sample size.
Maybe I am reading the question wrong or something. Any help would be greatly appreciated!
Happy Holidays!
Suppose that in a random sample of size 100, the standard deviation of the sampling distribution of the sample proportion is 0.08. If a researcher wanted to reduce the standard deviation to 0.04, what sample size would be required?
a) 100 b) 200 c) 400 d) 800 e) 1600
This is verbatim from the worksheet, and I was trying to input it into formulas such as the (std. dev)/sqrt(sample size); however, I keep getting answers that don't line up. I was getting n=4 which doesn't make sense at all. The way I got that was by inputting my known initial standard deviation of .08 in the numerator and by leaving the denominator as unknown. Then, I set the whole fraction equal to .04, my desired reduced standard deviation. Finally, I solved for my unknown variable n, sample size.
Maybe I am reading the question wrong or something. Any help would be greatly appreciated!
Happy Holidays!
