So, you have the mean salary for men and you have the mean salary for women, and what you're trying toĭo with the hypothesis test is try to come up with Means between these two, say, the mean salary. You could be thinking about the population of women. For example, you could be thinking about a population of men, and That I got this result?" If that's below your significance level, then you would reject your null hypothesis and it would suggest the alternative that might be that, "Hey, maybe this mean "is greater than zero." On the other hand, a two-sample T test is where you're thinking about The null hypothesis is true, "that this is actually equal to zero, "what's the probability That this mean is zero, and you would say, "Hey, if Hypothesis test around that, you would take a sample,Īnd then you would calculate the sample mean of the difference of pants minus shorts, and then, you would say, "Hey," assuming the null hypothesis is true, you would construct some null hypothesis, likely that there is no, And of course, in order to estimate that, or in order to do a So, the mean difference of pants minus shorts. They wear shorts or pants?", and so for each member of the population, you can see what you would, if you really had perfect information, you would know, how fastĭid they run with pants and how fast did they run with shorts? And then, you wouldĬalculate the difference, and then across the whole population, you could actually get Paired situation right over here, and so, let's say we say, "Hey, do people run faster when So, we have one population, so we're talking about the Gonna construct hypotheses around a parameter for our population that will often be the mean difference. So first, let's think about the difference between a paired T testĪnd a two-sample T test. So, pause this video and try to figure this out on your own. Talking about a paired T test and a two-sample T test, and then they talk about Most appropriate test "and alternative hypothesis?" And, we can see, they're "Assume that all conditionsįor inference have been met. "They want to test if managers who are men "have a higher average salary The average salary "of the men in the sampleĪnd the average salary "of the women in the sample.
"The researchers obtained salary "and demographic data for a Researchers conducted a study "comparing the salaries of managers "at a large nationwide retail store.