which-of-the-following-explains-why-one-of-the-conditions-for-performing-the-chi-square-test-is-me-2

Question

Which of the following explains why one of the conditions for performing the chi-square test is met in this case?
(a) The sample is large, 4877 teenagers in all.
(b) The sample is random.
(c) All the observed counts are greater than 100.
(d) We used software to do the calculations.
(e) Both variables are categorical.

Caleb Huber · Accepted Answer

the conditions for a chi squared. Tests are random, independent and expect accounts random being the observations randomly collected. So I need to like, make sure that when I&#x27;m picking people in the sample that picking a random sample where every next person is completely random and unbiased when how I picked the one prior independent the sample needs to be less than 10% of population. Um, because that means it&#x27;s with replacement where we treat with replacement. And I means that we can assume that whether or not you feel a certain way about something has no impact will not next person does. So you would be independent to the next person, then expected counts needs to always be created equal of five. If we look at the choices you have in this problem, the only one of these three conditions that appear of our options is the randomness choice. So when it asked which of these choices, uh, supported kind of artistic the one that are, um, we used a random simple It&#x27;s only the option talking about randomness where we&#x27;re talking about using random sample, this is the only option we use. Um, the other ones don&#x27;t fit anywhere with the remaining conditions

R M · Answer

problem Number 58. Um, the answer is the sample is random and we can see that there are for you requiring We&#x27;re before me. A guy Where? Yes, Brendan, Man, winning the same killer. And hey, and then in pill. What a minute. Only three persons and could be at least five independence in the sample size. It&#x27;s live, man, 10% uh, population. All right. We then know that after years Ah, me. What is? The single is random.

Caleb Huber · Answer

if this problem were supposed to state with provisional hypothesis is are no hypothesis for Akai. Score test should always begin with. There is no difference and then some problems. There&#x27;s no difference between human male teenagers that there&#x27;s a difference narrows. There are choices to see your be the difference between these two choices that B. It says that it&#x27;s between the female male teenagers in the sample and see says between the female and male teenagers and the population. If we are doing it Chi Square test, it&#x27;s to make a inferences about the population. So we definitely want to see note that B is clearly false because if I have a sample, I can look at the sample and make a history Graham and history. Graham is going to say whether or not there is no difference in the distribution of the sample, but but that&#x27;s irrelevant in terms of in terms of its on Tirol that it&#x27;s pretty relevant in terms of the entire population, though we can have hissed a gram with slight differences that in the grand scheme of the things we&#x27;re looking at, the whole population is still treated as being basically equivalent. We think of these two bars think this bar ah female in this bar male, so the option is

R M · Answer

remember 53. We know that h no better hypothesis is And that Ah, very no association between me. Bad evens. I mean, you know, drinking. But Berries. Association between the great evens and high prices are always about the population. So the answer I will be a E. That there is no association between general and opinion about marriage in the population.

Robin Corrigan · Answer

we&#x27;re asked the state we would use a chi squared goodness of fit test, a chi squared test of homogeneity, a chi squared test of independence or some other statistical test for the following situations. For part A. We are examining whether there is any difference in quality of manufactured cars. Based on the weekday, the car was made using counts of warranty claims filed, so there&#x27;s a somewhat obvious no hypothesis here, and that is that there is no difference in quality from one day to the next. So we&#x27;re testing to see if the data Concorde with this uniform theoretical model. So this is a goodness of fit, test and be. A researcher is testing whether blood cholesterol level is related to heart disease by examining a patient database and looking at cholesterol levels for patients with and without heart disease. So this is a search for an association between two variables. For a single population. However, cholesterol levels are not in counts. It is a continuous variable. Therefore, the chi squared tests are not appropriate in this situation and then see a student is trying to determine if political leaning is associated with choice of major by randomly surveying 500 students. So this is a test on a single population students and looks to see if there is an association between two categorical variables which are choice of major and political leaning, so this is therefore a test of independence.

Caleb Huber · Answer

all right, This one. We&#x27;re supposed to decide what value on the table contributes. Most kind. Score, statistic. Eso the table. Here&#x27;s and white. I&#x27;ve done some things force already because some of us just calculator work, you know, you have your totals. I&#x27;ve done that there for us. And then we need to find you Expect accounts, which is just your road column divided by the total population, which again is just calculator work. And I&#x27;ve done that here Force and gold already. Now we can answer this question. So if you want to know which one contributes the most, it&#x27;s one where the observed like I squared is observed minus expected squared, divided by expected. So the biggest contribution will come from that. This difference in the numerator of observed minus expected cause that contributes the most. So we just eyeball this real quick. The difference here in this row between the observing expected it is, you know, about one difference. The next row, as he wants to me to minus 50. That&#x27;s a difference of about 20 5 16 and 4 47 Well, that&#x27;s Teoh. 516 minus 447 Okay, this one is about 69 I&#x27;m just kind of looking at the female calm here because they&#x27;re kind of similar across. For example, if I do 5 12 minus four for two, that&#x27;s 70 So it&#x27;s pretty close. Um, next throw 7 35 and seven 177. Well, that&#x27;s about a 42 ish 7 10 minus 667 43 issues. So, yeah, this one&#x27;s about 42 and a look of the last row. This was pretty big. 101,000 and 74 minus 1000 and 38. Let&#x27;s over 100. This is ah, greater than 100. So clear the answer is going to be in this row the almost certain row and now we&#x27;ll be picky. And look at the two separately. So delicate. This left one 1st 11 174 Mine is one. Yeah, 1134 minus 1000 and 38. This is 136 and then if we do the other one, Ah, seven or 56 minus in under 91. That is about I just use my decimals to because I think it&#x27;s gonna be really close we gotta pick one. So one second. 756 This is a 1 35.2 difference. And the other one? If I do 11 this is 135.2 because this is the same. This implies that I probably rounded something off, so it&#x27;s just redo the last roll real quick. So reading the last row 26 to 5, I was 1930 divided by 4877 And then from that, I&#x27;m gonna subtract the observed value of 1174 That&#x27;s gonna be what I have for this one here. So, you know, my calculator real quick is equal to negative 1 35 point 1954 seven. There we go. There&#x27;s 10 decibels and I will do the same thing for the other one. That&#x27;s going to the same calculation. But the difference is the row. The column trouble change. So it&#x27;s gonna be 2 to 5 to there&#x27;s 1930 divided by 4877 minus. And then the observed is changed. 20 He had 7 56 50 six. Okay, we put that my calculator 135 I would warn nine, 54 07 I think they are the same. All right, so I guess it is. I guess that&#x27;s actually both I thought it was gonna be just the males, but looks like the air. Exactly. Um, the same one is positive, and one is negative, but that doesn&#x27;t make a difference. Because rumor that we do this computation, we square it. And since we square it on, the negative will go away over there. We divided by the expected amount. There&#x27;s a difference. As I go it something&#x27;s off here. We&#x27;re gonna square it so these numbers will be the same. But then we divide by the expected, and so it&#x27;s actually calculate These exactly. Do. I forgot about the denominator. Okay, so the statistic for this one that&#x27;s blue statistic for this 1st 1 is negative. 135 point. I was getting these the same around in the same way, so point to squared, but divided by, uh, the expected, which was 1038.8. The other one, it would be a positive 1 35.2 squared, but it&#x27;s gonna be divided by only 891.2. Since this one here has a smaller denominator, it is going to result in a larger number. So we know that this one is greater because there&#x27;s a smaller denominator. So the thing you that looks like they&#x27;re saying the thing that actually contributes the most to the chi square cystic is the last male outcome. So the almost certain male category, so the almost certain male category is our answer.

Problem

In each of the following settings, say which infe…

Problem 58 Medium Difficulty

Answer

(b) The sample is random

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Daren S. Starnes, Daniel S. Yates, David S. Moore

The Practice of Statistics for AP*

Catherine R.

Megan C.

Heather Z.

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(b) The sample is random

The Practice of Statistics for AP*

Catherine R.

Megan C.

Heather Z.

Lucas E.

Data And Variables

Data And Variables - Example 1

Daren S. Starnes, Daniel S. Yates, David S. MooreThe Practice of Statistics for AP*

Catherine R.

Megan C.

Heather Z.

Lucas E.

Daren S. Starnes, Daniel S. Yates, David S. Moore

The Practice of Statistics for AP*