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Health psychologist tcsts new inte Nvention delermit can change healthy cenavic y Amorg siblings_ conolel Lre thistetuano matched-pairs desian; researcher gives one...

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Health psychologist tcsts new inte Nvention delermit can change healthy cenavic y Amorg siblings_ conolel Lre thistetuano matched-pairs desian; researcher gives one sibling intenvention and tne otr er Lblino Diven cantno Tatk uhoutthelintervention Jcc numbli neaith Denavior ObsenvedIn & during minuce obsenatlon ere ecorded.JNtIIAITReTJaniticnne Saeetha valudKatiatic: {Raunt Hdur unamer(a) Test nhether = daclmna placo?nuamalanenlihy bonavior'DEston Tetain reject the null hypothesis State

health psychologist tcsts new inte Nvention delermit can change healthy cenavic y Amorg siblings_ conolel Lre thistetuano matched-pairs desian; researcher gives one sibling intenvention and tne otr er Lblino Diven cantno Tatk uhoutthelintervention Jcc numbli neaith Denavior ObsenvedIn & during minuce obsenatlon ere ecorded. JNtIIAITReT Janiticnne Saeetha valud Katiatic: {Raunt Hdur unamer (a) Test nhether = daclmna placo? nuamala nenlihy bonavior' DEston Tetain reject the null hypothesis State (ha Retain the null hypothesi:. Reject the null nypothesis ~quareo (Rouna Ans"e 64o decima places | Compute elfect size using



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State the null hypothesis, $H_{o},$ and the alternative hypothesis, $H_{a},$ that would be used to test these claims: a. The mean of the differences between the post-test and the pre-test scores is greater than $15 .$ b. The mean weight gain, after the change in diet for the laboratory animals, is at least 10 oz. c. The mean weight loss experienced by people on a new diet plan was no less than 12 lb. d. The mean difference in the home reassessments from the two town assessors was no more than $\$ 200$

Welcome to the video, and today we'll be talking about hypothesis tests and specifically how to know whether or not our evidence sufficiently supports our claim. So this problem it is proposed that the average family size in the U. S. Is 3.18 So we can translate that into adult a null hypothesis by saying that mu or the average family size in America is equal to 3.18 And it is suspected that the true value of me was actually greater than what is proposed here. So we can make an alternative hypothesis here by saying that Mu is actually greater than 3.18 s o. If we want to visualize this, let's say we have a poorly drawn distribution here. With a peak value and the proposed 3.18 we would like to find evidence to show that the true value of Mu, instead of being around here, is actually somewhere over here. So in other words, this will be a three. I'm sorry, a right tailed test, and we'll be testing these hypotheses at a 5% elf alot. So, um, says these hypotheses Ah, random sample of 24 math students are fooled or are asked to give their the size of their families. And those 24 values should be given to you in your textbook. And what we need to do is we need to create a list in our calculators. Right now, I'm using a T i t four plus, we create a listener calculators, and, um, with the information we're given in that sample and the information we're given right here, we can turn your calculators to give us a testes tick, and p value us that we can ultimately make a decision regarding our hypotheses here. So if we go to the t test function after we have our list completed and we give it these parameters, um, the proposed value of mu is 3.18 Uh, the list. Wherever you stored your list, you just need to tell it where you got here, where you stored it in your calculator. And we're just gonna leave the frequency value at one. We don't have to worry about that right now, and we hope to find a value from you that is greater than what is proposed. If we give it all this information here and we press enter, we are given a test statistic or, in this case, a T value of 2.23 with a corresponding P value of zero point of 017 So, as we can see, our P value is in fact less than our Alfa level here. And therefore, our evidence is telling us to reject the null hypothesis in the context of the problem. Basically, our evidence is telling us that 3.18 is actually not an accurate representation of mu or the average family size in America. And instead we should, in fact argue in favor of the alternative hypothesis here that the true size is actually greater, then what is proposed. But at the end of the day, we do reject the null hypothesis is

Let us look at this statement. The researcher claims that less than 16% of the people had no health care visits in the past year, so my proportion is less than 0.16 This is going to be my alternative hypothesis. So what will be my null hypothesis? It is going to be that B is greater than or equal to 0.16 Alright. So if I reject minor hypothesis, I will say that I have enough statistical evidence to say that less than 16% of the people had no health care visits in the past year. All right, And if I fail to the Jackman our hypothesis, I will say that I do not have in a statistical evidence to support the claim that less than 16% of the people had no health care visits in the past year and this would be my answer.

The variable is pain. We're looking at the before groups and the after groups. The pears are going to be the before and afters. The pair difference is before minus after. New one is going to be before and Mewtwo is going to be after. Arnel hypothesis is that new one is going to be equal to Me too. And we want to find out if treatment got better. Therefore, new one before group would have to have greater pain than you two. This means that we will be doing a right tail test.

So for each of these, we're going to start by writing out the two opposite statements. And then we're going to identify which one is the no hypothesis and which one is the alternative hypothesis. So for the 1st 1 we have the mean age is less than 16 years. So are two possible statements are gonna be less than 16 and the opposite of that is greater than or equal to 16. Now remember that are no hypothesis is always the one that contains the equal sign with it. So that tells us that this one is air. No hypothesis. And this one is our alternative hypothesis. For B, we have the mean height is greater than six foot six. So one possibility is you is greater than six foot six, and the opposite of that statement is less than or equal to six foot six. So we look for the one that has the equal sign in it, and that one's Aaron all hypothesis, and that tells us our other one is our alternative hypothesis. Versi. We have to mean elevation drop is at least 285 feet, saying at least is the same thing a saying greater than or equal to. And the number we hade waas 285. On the opposite of that statement would be you're being less than 285. So we look for the one that has to equal sign, and that is our no hypothesis. And the other one is our alternative hypothesis. For D, we have the Mean diameter is no more than 0.375 So we have one possible statement as being less than or equal to serial 0.375 On the opposite of that statement would be newest greater than 0.375 You look for the one that has the equal sign. That's are no hypothesis, and the other one is our alternative hypothesis. And for me, we have the mean cholesterol is different from 200 milligrams, so one possibility is the meanest different from that. On the opposite of the statement, would be mu is equal to 200 milligrams. We all the know hypothesis is always the one that contains equal sign. So that's this one here, and our alternative hypothesis is another one


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