00:01
Let me take notes what values are given.
00:02
So the sample size which is given as 50 here and 28.
00:07
So and the x value given here which is 28 and the confidence level which was given as 95 percent.
00:13
So we can write as 0 .95.
00:15
So from these given values we can get the sample proportion value which is x over n.
00:19
This is 28 over 50.
00:22
So this is 56 over 100 which is 0 .56.
00:26
And the margin of error which was given as 5 percent.
00:30
So i can write as 0 .05.
00:32
Let's get the new sample size.
00:34
So i'm going to use the margin of error formula which is the alpha over 2 times square root of the sample proportion value and divided by the n.
00:42
To leave the n alone here just take the square of the both sides and leave n alone.
00:46
So this is z value times the margin of error and sorry this is divided by margin of error in brackets squared times p hat and times 1 minus p hat...