00:01
So the first thing we have to do is come up with our sample proportions for each year.
00:05
So in 2007, we had a total of 200 units for sale, and of those 200 units, 70 were given away.
00:13
So this sample proportion is equal to 0 .35, and because it's a sample, we'll put a bar over it.
00:23
And in 2008, we had a sample proportion of 70 over 150, which is equal to 0 .46 repeating.
00:35
So this is the answer to part a.
00:37
In part b, we are asked to come up with a 95 % confidence interval.
00:43
And our confidence interval formula is the difference of population proportions plus or minus the z score of our alpha over 2 times.
00:55
The square root of the first sample proportion times one minus the first sample proportion over the first sample size plus the second sample proportion times one minus the second sample proportion over the second sample size.
01:12
Now we have to find this difference and then figure out what this is and then come up with this value so we'll do that each in its own step.
01:21
So the difference is equal to the sample proportion in 2007.
01:25
Minus a sample proportion in 2008.
01:28
So 0 .35 minus 0 .46 repeating, plus or minus our z at alpha over 2, and our alpha is equal to 1 minus our confidence level of 0 .95, which is equal to 0 .05...