00:01
Let me take notes the given values here.
00:02
So the sample size, which is given as 195, and the size for the wanted situation here, which is 162, and the confidence level, which is given as 95%, so we can write that 0 .95.
00:18
So we're going to calculate the confidence interval for the proportion.
00:22
First of all, we need the sample proportion value, which is p hat.
00:25
This is x over n.
00:27
This is 162 divided by 195.
00:30
Let's get this value.
00:32
So this is 162 divided by, which is 195.
00:37
So the value would be 0 .83 and 1 with three decimal places.
00:42
Let me write the formula, the confidence interval for the proportion, which is the p hat value plus or minus, this is z alpha over 2 square root of p hat times 1 minus p hat and divide by n.
00:55
Let's first of all get this z value here.
00:57
So i'm going to start off finding the alpha value, which is 1 minus confidence level.
01:02
So we need alpha over 2, 1 minus 0 .95 and divide by 2, which would be 0 .025...