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Question

In each of the following settings, say which inference procedure from Chapter 8, 9, 10, or 11 you would use. Be specific. For example, you might say “two-sample $z$ test for the difference between two proportions.” You do not need to carry out any procedures.34
(a) Is there a relationship between attendance at religious services and alcohol consumption? A random sample of 1000 adults was asked whether they regularly attend religious services and whether they drink alcohol daily.
(b) Separate random samples of 75 college students and 75 high school students were asked how much time, on average, they spend watching television each week. We want to estimate the difference in the average amount of TV watched by high school and college students.

Caleb Huber · Accepted Answer

all right, we are given these two conditions and then asked these two situations and asked what type of school tests reduce on these conditions? So for a 10 if there is a relationship between alcohol consumption in church tenants, he would use a kind square test for association. Flash independence was It makes sense because we have these two factors. We have our own consumption, Trickett IDs, and we want to see if there is an association between them so we could make a making no life offices, that there is no difference. And then we could run a Chi Square test and see whether or not that no hypothesis is no difference distributions across church tendons. We could say we do destruction across Trish students and I would see whether daughter Noi posses was true or not. Nevertheless, no. If there&#x27;s relationship for be If 75 calls shooting 75 high school students, how much time do they each been watching to be each week? So this sounds a lot like a two sample Z score. Remember that? A A to that&#x27;s gonna tell us whether or not they have the same averages. Let&#x27;s go, Let&#x27;s know whether or not the average of the first sample is equal to the average of the second. But we don&#x27;t want to know whether or not they have the same average. You won&#x27;t know how much friend each spend we want to compare. The difference is between the two and so we&#x27;re going to soon were some of our established that they are different and we&#x27;re going to in fact, to use a to sample tea interval for the I mean difference, which is a little different because this implies that we&#x27;ve already established that the two means are different for these two groups. And logically, they would be different because we would assume that high schools have more time on their hands. So we&#x27;ve already established prior to this. Drew is two samples East Cortes that samples are not the same. Now we want to see with the mean differences so we can compare the time they will uh has been playing video games against each other. And so this is like a follow up step to the two sample Z score. So it&#x27;s a two sample T interval test

R M · Answer

properly over 60. I don&#x27;t remember 60 a. Um that is right. Nice Krayer. Best for the ah were in the vendors s so we can say that in general 11 proportion is acceptable and instructor before one infill Is that breast? Oh, good. As to proportion. He&#x27;s cross running through toe. Same professed. Alright, What any good of it? Uh, can say that&#x27;s what I mean. One mean it&#x27;s correspondent toe one Santel uh, teen. Think this or a terrible on a still mean greens It&#x27;s just going forward to assemble, uh, elitist were in prison or a beard. He just wouldn&#x27;t go today, um, also and women or association or modernity suitable to buy this squares. So ah, what&#x27;s reuse? Ah, yes. If you mean from the best for a difference Rollicking increase or the greens. And And we was incredible reruns. Who is to me and terrible in which the ready noise That&#x27;s why we hear it was a place where test for association or in the winters Because we are interested in the relationship. Ah, between the variables and it is the answer for creature a for which and be we when you was ah to stay in a little e good, Really? For ah difference Africa. What? We are interested in an estimate off the differences between two average or were the tour simple?

Caleb Huber · Answer

are. We have these two cases here, and we&#x27;re supposed to say test you would use. So for a 38 saves report, the percent of voters who voted the selection, this would be a 81 sample t test for the I mean and that is because it wants sample T test allows us to have some expected value. We think it is. And then we do a test to see whether or not this value we think is to be right is true or not. So here we, uh here we have some hypothesized I mean and we&#x27;re going to Then we&#x27;re going to test whether or not population mean confirms our guests for B. We&#x27;re going to do it to sample, see test or proportions for the in proportion. You have some hypothesized a portion, and then we&#x27;re gonna do to samples and compare there proportions. Specifically, we are. I&#x27;m going to assume equivalents and we&#x27;re gonna test whether or not that is true.

R M · Answer

a problem. Number 59 we can see that in general, one proportion is corresponding to one. Were the suitable approaches to use one simple. That test or in terrible toe approach to proportions is corresponding to to sample the test or internal one mean it&#x27;s responding toe. One sample T test or interview toe means its corresponding to two sample T test or in terrible repaired ready just went terribly. Independence or assassination or virginity is corresponding to the chi square. We also you with a test if we want to test the difference between means or quality, Increasing decreased on the use off the interval. If we want to estimate him. Interviewing with the true value airlines eso here and using something we will in was really terrible, I mean in Children for I mean because we are interested in estimate off the average off one. And it&#x27;s simple fork, which ill be we will use to. And stample is a Chris for or sir the difference because here we are interested in the increase off the difference off to proportion off to a sympathies

R M · Answer

a proper number. 63. Let&#x27;s say in general, if we want to estimate or deal with one proportion, so we&#x27;ll use one symbols that test or in terrible proportions. Who will use to sample? Is that test or interval one mean on? We will use one simple 18 tests were interval two means we were usedto sample t test or interval to means or mean difference with their data in the two samples. So we will use 1/3 80 tester and telvent. We was at the test the test. If we want to test for a difference, equality case will decreased. Use the incurable. If we want to estimate an interval in which the true value lies in our case, we want to estimate the mean difference. So we will use the third tion turbine for the mean difference. We will use this. He joined the pair the interval for the mean difference

R M · Answer

proper number 62. We can say that in general. Ah, if we want to estimate one proportion so we can use 17 that s or Children proportions. So we use to sample that this or in terrible one mean we can use one sample t test or interval to means we can use to assemble a T test or in terrible two means or mean difference with fared better in the two samples. Ah, in case off heard seen this or in terrible eso angle. We can use a test if we want toe test for a difference. Equality increase your degrees and we can use the in Terrible if we want to estimate and in terrible in which the true value lies. And then in this problem problem number 62 we need to test for an increase between two means. So we will use all the best approach for that that we will use Baird test. He test for them in different switches. This is a choice. We here, uh, two news heard the test would mean and difference

Problem

Was this an observational study or an experiment?…

Problem 60 Hard Difficulty

Answer

a. Chi-square test for association/independence
b. Two-sample $t$ interval for the mean difference

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a. Chi-square test for association/independenceb. Two-sample $t$ interval for the mean difference

The Practice of Statistics for AP*

Srikar K.

Catherine R.

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*

Srikar K.

Catherine R.

Heather Z.

Lucas E.

a. Chi-square test for association/independence
b. Two-sample $t$ interval for the mean difference

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

The Practice of Statistics for AP*