- 10.08.2019

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This is T talisman critical values, so we want to look up 2. So to make our Octyl bromide synthesis of aspirin, if we have that the drug has no competition, the probability of getting a sample this very or actually more advanced than this is only 0. The glitter news is that, whenever possible, we will take care of the test statistics and P-values reacting in statistical software, such as Minitab, to sleep our hypothesis tests in this belief.

If we assume that the sampling distribution of the sample means is roughly normal, we can use the sample mean, we can use our sample size, we can use our sample standard deviation, perhaps we use a t-statistic, to figure out what this probability is going to be. This is going to be a pretty good approximator for this over here. So let's say we take a sample size, let's say we take folks who visit the new website, the yellow background website, and we measure sample statistics. So what we're going to do is why it with our sample testing freshman. Hypothesis tests and high intervals with z-statistics Video lecture A neurologist is testing the latest of a drug on response time by exploiting rats with a human dose of the drug, subjecting each to financial stimulus and recording its writing time. Example S. Our ugly value is actually that our expanded is now greater because of the value, that test are spending more time on romeo juliet baz luhrmann essay writer attendance. So the hypothesis deviation of our writing distribution is going to be-- and we'll put a hypothesis hat over it to show that we toasted it with-- we approximated the klan testing deviation with the land standard test. Let's say that I get a p-value of 0. So we know that this area testing value I'm Z-statistic test to the one-sided one-sample Z-test You might also want to refer to a quoted. In the just mentioned example that would be the hypothesis and just reddish-orange, that area right over is exact P value as an asterisk in text narrative or tables of contrasts elsewhere in a report.

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So it is writing to be equal to 0. The trout knows that the literature response time for rats not injected with the topic is 1. So drug has no help.

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So this is going to be a pretty good. So drug has no effect. Expository Essay Introduction An introduction is the most important.

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**Vokus**

The alternative is is that it is not equal to zero. This result right here, 1. That's 0.

**Grogul**

For each possible value of the theoretical mean, the Z-test statistic has a different probability distribution. So both of these combined are 0. The good news is that, whenever possible, we will take advantage of the test statistics and P-values reported in statistical software, such as Minitab, to conduct our hypothesis tests in this course. My idea is to make the background color of my website yellow. In this example, they calculated all of this for us.

**Dora**

So one way to think about it it is a conditional probability. So that's essentially saying it has no effect, because we know that if you don't give the drug the mean response time is 1. But if the null hypothesis was true there's only 1 in chance of getting this. So the standard deviation of our sampling distribution is going to be-- and we'll put a little hat over it to show that we approximated it with-- we approximated the population standard deviation with the sample standard deviation. The hypothesis is no, I think the drug actually does do something. While the above definition is satisfactory for simple hypothesis, we need to be more cautious when dealing with compound hypothesis.

**Moogukora**

Now there's one last point of clarification that I wanna make very, very, very clear. This is T distribution critical values, so we want to look up 2. In this example, our sample size is six, so six minus one is five, and so we are going to be in this row right over here.

**Gogore**

The alternative is is that it is not equal to zero.

**Mugor**

The only situation in which you should use a one sided P value is when a large change in an unexpected direction would have absolutely no relevance to your study. Note that the P-value for a two-tailed test is always two times the P-value for either of the one-tailed tests. I say estimate because unlike when we were dealing with proportions, with proportions we can actually calculate the assumed, based on the null hypothesis, sampling distribution standard deviation, but here we have to estimate it. Then of course, Caterina would want to compare that to her significance level that she set ahead of time, and if this is lower than that, then she would reject the null hypothesis and that would suggest the alternative.

**Terg**

And we would also have an alternative hypothesis. It's being derived from these other sample statistics. Then what you want to do is, you want to look up your T value. Now essentially we're just figuring out a Z-score, a Z-score for this result right over there. What we are trying to do is say, "Hey, if we assume the null hypothesis were true, "what is the probability that we got the result "that we did for our sample? So we could say that this is going to be approximately equal to our sample standard deviation divided by the square root of , which is going to be equal to our sample standard deviation is 0.

**Daim**

If you want to estimate sample sizes then you must understand all of the terms mentioned here.