00:01
So we're looking at an invasive species in the great lakes.
00:04
We're first going to look at lake erie.
00:06
Biologist knows that black carp are invasive in the region.
00:09
We'd like to estimate the proportion of fish in lake erie.
00:11
They randomly sample, which is a key thing in order for the assumptions and conditions to be met.
00:17
Randomly sample fish from lake erie.
00:19
The biologist catches 69 black carp.
00:22
So 69 out of 250, we get 0 .276.
00:28
What is the margin of error for a 95 %? confidence interval for the true proportion of fish that are in lake erie.
00:35
So we randomly sampled, and then we could obviously see that 69 is greater than 10, and 250 minus 69 is also greater than equal to 10.
00:45
So we can do a confidence interval.
00:47
So on my calculator, i go to probability statistics, confidence intervals.
00:51
We're doing a one proportion z interval.
00:53
The number of successes was 69, and the number in the sample was 250.
00:59
We want a 95 % confidence interval, so i hit okay.
01:03
And what i'm looking for is the margin of error.
01:07
So the margin of error is 0 .0554.
01:11
So it looks like the answer is b for the first one.
01:15
The biologist then moves on to lake huron.
01:18
Again, they want to estimate through a portion of fish in lake huron that are black carp...