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AP Biology 7.4 Population Genetics
They only brought the gene pool of those individuals.
AP Biology 7.4 Population Genetics
In addition, the Amish marry within their own community.
AP Biology 7.4 Population Genetics
So Founder Effect traits such as polydactyly can be seen in descendants.
AP Biology 7.4 Population Genetics
Well, I'll share a story with you.
AP Biology 7.4 Population Genetics
When I have polydactyly and when I was five years old, my mother had my extra digit cut off of my hand and I also have both hands.
AP Biology 7.4 Population Genetics
And it was a type that's called an ulnar type and it's a type B.
AP Biology 7.4 Population Genetics
So it wasn't a full form bone finger.
AP Biology 7.4 Population Genetics
It was only like a tag of a finger like part of a skin that resembled a small finger.
AP Biology 7.4 Population Genetics
And anyway, so I have been sequenced and I have two variants and two genes that have to do with it, Ellis Van Kruvald syndrome.
AP Biology 7.4 Population Genetics
So I didn't know all this until I started working with this for you.
AP Biology 7.4 Population Genetics
And so that is a good day at work for me when I can put something together and learn.
AP Biology 7.4 Population Genetics
Okay, the next way we're next.
AP Biology 7.4 Population Genetics
Let's see.
AP Biology 7.4 Population Genetics
We're going to talk about gene flow.
AP Biology 7.4 Population Genetics
Okay, so this is my favorite way to talk about gene flow.
AP Biology 7.4 Population Genetics
There is this is a immigrants on an Atlantic liner and they're coming to America.
AP Biology 7.4 Population Genetics
And so when people move into a new city, they bring their genes with them.
AP Biology 7.4 Population Genetics
And that's called gene flow.
AP Biology 7.4 Population Genetics
All right, these random processes, mutations, genetic drift and gene flow can reduce the genetic variation of a given population and can increase the differences between populations of the same species.
AP Biology 7.4 Population Genetics
So our science skill today is going to be about questions and methods.
AP Biology 7.4 Population Genetics
And the task for today that we're going to focus on is state.
AP Biology 7.4 Population Genetics
And this is what we'll be stating.
AP Biology 7.4 Population Genetics
We'll be the null hypothesis is what we're going to be working on today.
AP Biology 7.4 Population Genetics
Okay.
AP Biology 7.4 Population Genetics
And we're going to be predicting the results of an experiment.
AP Biology 7.4 Population Genetics
This is an effort from the very first year that I taught AP biology and what you see in the diagram, you see a choice chamber and at one side it has a glucose soaked cotton ball and on the other side it has a dry cotton ball.
AP Biology 7.4 Population Genetics
And so let's read what the story tell us.
AP Biology 7.4 Population Genetics
All right.
AP Biology 7.4 Population Genetics
In an investigation of fruit fly behavior, a covered choice chamber is used to test whether the spatial distribution of flies is affected by the presence of a substance placed at one end of the chamber.
AP Biology 7.4 Population Genetics
To test the flies preference for glucose, 60 flies are introduced into the middle of the choice chamber at the insertion point indicated by the arrow in the figure above.
AP Biology 7.4 Population Genetics
A cotton ball soaked with a 10 percent glucose solution is placed at one end of the chamber and a dry cotton ball with no solution is placed at the other end.
AP Biology 7.4 Population Genetics
The positions of the flies are observed and recorded every minute for 10 minutes.
AP Biology 7.4 Population Genetics
Predict the distribution of flies in the chamber after 10 minutes and justify your prediction.
AP Biology 7.4 Population Genetics
So take just 20 seconds and you make a prediction of where those 60 flies are going to be.
AP Biology 7.4 Population Genetics
All right, how about 10 more seconds?
AP Biology 7.4 Population Genetics
OK, I'm going to show you my prediction.
AP Biology 7.4 Population Genetics
OK, I know those are bees and they're not flies, but it's the only shape that was even resembled being close enough to put in here.
AP Biology 7.4 Population Genetics
OK, so you see my we have our choice chamber down the bottom, the glucose soaked, the dry and my prediction.
AP Biology 7.4 Population Genetics
I predicted 58 glucose will be on the glucose soaked in one in the middle and one on the dry cotton.
AP Biology 7.4 Population Genetics
So let's take this another step.
AP Biology 7.4 Population Genetics
Because I did that because they would want sugar is what I was thinking.
AP Biology 7.4 Population Genetics
OK, before we move on, I want to ask you a question.
AP Biology 7.4 Population Genetics
And my question to you and I hope you know the answer is what would you do differently here?
AP Biology 7.4 Population Genetics
What do you see as an initial problem in this diagram and the initial start of this experiment?
AP Biology 7.4 Population Genetics
I see that there is a dry cotton ball and there's a glucose soaked cotton ball.
AP Biology 7.4 Population Genetics
So if I think that it would have been better to start with not a dry, but maybe a soaked cotton ball with sterile water.
AP Biology 7.4 Population Genetics
So it wouldn't be the wet or dry that could be interfering.
AP Biology 7.4 Population Genetics
It would be about the glucose.
AP Biology 7.4 Population Genetics
I just wanted to see if you maybe caught that on the first round.
AP Biology 7.4 Population Genetics
OK, so here's B and I'll give you a couple of minutes to do B.
AP Biology 7.4 Population Genetics
The experiment described above is repeated with ripe bananas at one end and unripe bananas at the other end.
AP Biology 7.4 Population Genetics
Once again, the positions of the flies are observed and recorded every minute for 10 minutes, the positions of the flies after one minute and after 10 minutes are shown in the table below.
AP Biology 7.4 Population Genetics
All right, I'm going to go to the next and.
AP Biology 7.4 Population Genetics
Show you the table.
AP Biology 7.4 Population Genetics
OK, so here's the distribution of flies in the choice chamber at one minute and at 10 minutes, and there's at the end with the right banana.
AP Biology 7.4 Population Genetics
At 10 minutes, we were 45 in the middle.
AP Biology 7.4 Population Genetics
We had three and on the end we had 12.
AP Biology 7.4 Population Genetics
Now, there is the chi square formula because you're going to be doing chi square calculations today.
AP Biology 7.4 Population Genetics
You're going to write a null hypothesis and you're going to be doing chi square.
AP Biology 7.4 Population Genetics
So let's go through this formula for a minute.
AP Biology 7.4 Population Genetics
All right.
AP Biology 7.4 Population Genetics
So this symbol right here means summation.
AP Biology 7.4 Population Genetics
OK, and this O is talking about observed.
AP Biology 7.4 Population Genetics
So I would have observed 45 and the next one, it would be observed three and then I observed 12.
AP Biology 7.4 Population Genetics
So expected, I'm going to leave that to you because you're going to be writing a null hypothesis.
AP Biology 7.4 Population Genetics
And so I hope that you understand what that means.
AP Biology 7.4 Population Genetics
And if you don't, I'll make it really clear when we get done.
AP Biology 7.4 Population Genetics
But one more other thing about this formula, see that that chi right there, chi square, that is not an X squared.
AP Biology 7.4 Population Genetics
So don't find this and then think that's X square and then get the square root of this.
AP Biology 7.4 Population Genetics
Just don't do that.
AP Biology 7.4 Population Genetics
OK, I'm going to give you two minutes to work through this.
AP Biology 7.4 Population Genetics
And in the beginning, I should have told you to get some paper and a pen and in the future, some graph paper and calculator, too.
AP Biology 7.4 Population Genetics
OK, how about another 30 seconds?
AP Biology 7.4 Population Genetics
And 10.
AP Biology 7.4 Population Genetics
And, OK, let's take a look at the answer.
AP Biology 7.4 Population Genetics
OK, so to write a proper null, OK, this is what I do.
AP Biology 7.4 Population Genetics
And I think there's three things I really need to say to cover all my bases when I write this, and I always think, well, no has three letters, right?
AP Biology 7.4 Population Genetics
OK, so I need to say that the number of flies will be equal in all three sections, or I could have said it like the flies will have the same amount of preference for each area.
AP Biology 7.4 Population Genetics
OK, then there is no statistical difference and then any difference is due to chance.
AP Biology 7.4 Population Genetics
So I use this as a framework because I can substitute anything I'm talking about into that first sentence and then I will add the numbers.
AP Biology 7.4 Population Genetics
And then I will be able to know what else I need to say and have some frame of reference to check myself back with, OK, what with what was no statistical difference with no chance or chance, but if you do it this first time when you write your null, you will be able to control which way you're writing and that you don't make an error and change things up as you're writing.
AP Biology 7.4 Population Genetics
So let's take a look at this math.
AP Biology 7.4 Population Genetics
We had 45 observed 3, 12 and the totaling of 60.
AP Biology 7.4 Population Genetics
And then if we didn't expect any difference in their choices, OK, of their preferences, then there would be 20, 20 and 20.
AP Biology 7.4 Population Genetics
And then you would have done the calculations and come up with a chi square value of forty eight point nine.
AP Biology 7.4 Population Genetics
All right, so.
AP Biology 7.4 Population Genetics
Here's our chi square formula, and I'm going to run through how to do the math and then it's going to go really, really fast.
AP Biology 7.4 Population Genetics
OK, I hope you were looking at the math and not trying to look at my fingers.
AP Biology 7.4 Population Genetics
All right, so here is our next step.
AP Biology 7.4 Population Genetics
We got to take this a little bit further.
AP Biology 7.4 Population Genetics
This is a degree of freedom table and this is only a small section compared to various tables.
AP Biology 7.4 Population Genetics
I mean, they are there.
AP Biology 7.4 Population Genetics
A lot of information could be on a table.
AP Biology 7.4 Population Genetics
It can be in a different orientation.
AP Biology 7.4 Population Genetics
The p value can be at the top.
AP Biology 7.4 Population Genetics
The degrees of freedom can be on the left, the right.
AP Biology 7.4 Population Genetics
It can have all kind of differences, but this is the one that the College Board has on the exam.
AP Biology 7.4 Population Genetics
So we're in biology, we're going to use our p value of point of five.
AP Biology 7.4 Population Genetics
And now we're going to look at our degree of freedom.
AP Biology 7.4 Population Genetics
We had three categories, right?