In: Statistics and Probability
Consider the following sample information randomly selected from two populations.
Sample 1 Sample 2
n1=100 n2=50
x1=30 x2=20
a. nbsp Determine if the sample sizes are large enough so that the sampling distribution for the difference between the sample proportions is approximately normally distributed.
b. Calculate a 98% confidence interval for the difference between the two population proportions.
a. Are the sample sizes sufficiently large?
No, because np overbar and n(1minusp overbar) are less than 5 for both samples.
No, because np overbar and n(1minusp overbar) are greater than or equal to 5 for both samples.
Yes, because np overbar and n(1minusp overbar) are less than 5 for both samples.
Yes, because np overbar and n(1minusp overbar) are greater than or equal to 5 for both samples.
b. Calculate a 98% confidence interval for the difference between the two population proportions.
___ ≤(p1−p2)≤ ___