Hello. In this video, we will see how we can create a simulated set of 30 patients that are going to participate in the dolphin experiment. Our simulations will be created assuming that the improvement of a patient is independent of the group that they were assigned, either the treatment with dolphins or the control group. I want you to imagine that the independence model means that if we randomly select 14 patients out of the 30 to represent those that showed substantial improvement, then we expect to find the same improvement rate within the dolphin therapy group and the control group. Those two improvement rates may vary a little bit, but they are different it will be just due to chance. The simulation is going to help us how much they can vary just due to chance and not because of the treatment that a patient was assigned to. For this activity, we're going to use a regular deck of cards. You're not going to need all the cards in the deck. Every card in the deck is going to represent a patient. Okay. So let's start with step one. I want you to take your deck of cards, and then I want you to select 15 red cards. Any 15 red cards will do. So I want you to have now a deck with 15 cards that are red. And those 15 red cards are going to represent the people that were assigned to the Dolphin group. Now, I want you to go ahead and select 15 black cards, any number, just black cards, 15 black cards to represent the control group. Now, you should have in your hands a deck of 30 cards where 15 of them will be red representing the dolphin group, and the other half, the other 15 will be black representing the control group. This is the part where we introduce chans we're going to supple. Okay. And in step three, I want you to select out of the 30 cards that you have into your hands, 14 cards at random by chance, sphalondra 14 cards. Those are going to represent the the patients that sold improvement. Here we have now 14 cards. Those represent the group that sold improvement. What we need to find is how many of the 14 belong into the dolphin therapy group and how many of those 14 belong in the control group. We're going to go ahead in step four, and I want you to take your cards and co how many red and how many black you have. We start with how many red. I want you to count how many red you have out in the decal 14. In my case, I randomly had eight cards that were red out of the 14, which means that eight patients out of the 14 that sold improvement were in the dolphin group. All right. That practically means that we had black cards. If I count how many black cards I have out of those 14 C six. Okay. So in step four, we can now calculate the proportion of improvement that is found in the dolphin therapy group. We are going to call that P hat. This is this is the proportion of people that so improvement in the dolphin therapy group. We have eight out of the total of the dolphin therapy group out of the 15. That's the end of step four. For step five, we have counted how many block cards we have, and they are present the patients that saw improvement in the control group. Now we can go ahead and find the proportion of improvement in the control group. We are going to denote that as P had seen in the control group. We have six patients that saw improvement out of the total of 15. Right. In the next part of this activity, you are going to see how different are the two improvement rates by taking the difference between the simulated improvement in the dolphin group minus the simulated improvement in the control group.