A poll of 1400 randomly selected students in grades 6 through 8 was conducted and found that 30% enjoy playing sports. Would confidence in the results increase if the sample size were 3200 instead of 1400? Why or why not?
sample proportion= 30%
We have to estimate the population proportion from the sample proportion.
This will lie in a range called the confidence limits.
We have to calculate confidence interval for sample sizes
at the same level of significance alpha (a) , say = 5%
Confidence limits when n= 1400
n=sample size= 1400
sp=standard error of proportion=square root of (pq/n)= 1.23% =square root of ( ...
The solution calculates confidence intervals for different sample sizes.