Out to figure this out but this would give us Of sample proportions and then you divide that by n That times one minus 0.08 so we'll multiply that times 0.92 and this come straight from we've seen it in previous videos, the standard deviation of the sampling distribution So we're assuming it is 0.08 and then we'll multiply Remember, all that is is,Īnd sometimes we don't know what the population proportion is but here we're assumingĪ population proportion. And so how do we figure it out? Well, we can figure out the difference between the sample proportion here and the assumed population proportion, so that would be 0.11 minus 0.08 divided by the standard deviation of the sampling distribution And so what we wanna do is figure out the number of standard deviations, and so that would be a z-statistic. What's the probability of getting that many standardĭeviations or further from the true proportion? We could use a z-table to do that. The assumed proportion is it? And then we could say Standard deviations away from the true proportion, Out this probability? Well, one way to think about it is we could say how many Is lower than alpha, then we would reject the null hypothesis which would suggest the alternative. ![]() Probability of getting a result this far away or further from the assumed population proportion? And if that probability Now the next step isĪssuming the null hypothesis is true, what is the Is 22 out of the 200 people in the sample are unemployed. The sample proportion and we figure out that it The sample statistic we would care about is Than 10% of the population, and we calculate a sample statistic here, and it would be, since we care about the true population proportion, Met the independence condition, we'll assume that this is less People, so this is our sample, n is equal to 200, since it Mayor of the town sets it, let's say, he sets or she setsĪ significance level of 0.5. And so what we would do is we would set some type of a significance level, we would assume that the In this town is different, is different than 8%. To report so to speak, and we have our alternative hypothesis that no, the true unemployment Hypothesis tends to be the no news here, nothing That the true proportion of unemployed people in our town, that's what this p represents, is the same as the national unemployment. To rewrite everything just to make sure I've In previous videos, identify the correct test statistic for this significance test. ![]() Assuming that the conditionsįor inference have been met, and so that's the random, normal,Īnd independent conditions that we've talked about Of residents in the town that are unemployed. Not the same as the national, where p is the proportion Is that the unemployment rate is the same as the national one versus the alternative hypothesis which is that the unemployment rate is True in their own town, so they took a sample of 200 residents to test the null hypothesis Proportions are the number with that certain characteristics divided by the sample size.Of a town saw an article that claimed the national These three articles all have something in common - they're referring to sample proportions - 50% of all Latinos, 42% of employers, and 50% of likely Michigan voters, respectively, in the three articles above. ![]() The EPIC-MRA poll conducted for The Detroit News and television stations WXYZ, WILX, WOOD and WJRT found 50 percent of likely Michigan voters support the stem cell proposal, 32 percent against and 18 percent undecided. pollĪ recent poll shows voter support leading opposition for ballot proposals to loosen Michigan's restrictions on embryonic stem cell research and allow medical use of marijuana. Stem cell, marijuana proposals lead in Mich. The survey polled 436 employers with workforces of all sizes. Forty-two percent of employers with 401(k) plans automatically enroll new or existing employees in the plans, nearly double the 23 percent from 2006, according to estimates from the 2008 401(k) Benchmarking Survey by the International Foundation of Employee Benefit Plans and Deloitte Consulting. Never got around to signing up for the company retirement plan? The boss may have done it for you. (Source: Pew Research)Īutomatic enrollment in 401(k) doesn't take care of everything Half (50%) of all Latinos say that the situation of Latinos in this country is worse now than it was a year ago, according to a new nationwide survey of 2,015 Hispanic adults conducted by the Pew Hispanic Center.
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