1-Proportion Z-Test (Hypothesis Testing) (TI-83 & TI-84)

On this video, we are going to see the way to lift outthe one-proportion Z-scan on the TI-eighty three and the eighty four. The instructions for the twocalculators are identical. We start with an instance from Openintro’s boost excessive college facts. Now we have Deborah Tooheyis going for walks for Congress, and her crusade manager claimed that she has greater than 50% help from the district’s citizens. A newspaper poll finds that52% of the five hundred possible voters who had been sampled aid Toohey. Does this provide convincingevidence for the claim by means of Toohey’s supervisor atthe 5% importance degree? So we all know we wish to calculatea one-proportion Z-scan.We’ve got our null hypothesisthat her authentic percentage of aid is 0.5, and the alternate speculation that her authentic proportion ofsupport is larger than zero.5. When we check our conditions, and we do the NP, constantly use the hypothesizedvalue of P here, which is zero.5, not the sample proportion, which is 0.52. So right here we use the 0.5 fromour hypothesized proportion to examine that it’s greaterthan or equal to 10 and also count on you havea simple random pattern.After which while you calculate the SE, also use the hypothesized share. Once more, don’t use the sampleproportion down right here. The quantity right here shouldmatch the 2d number, no longer the first number. Now that we have our situation set up, we will use the calculatorto to find the Z-statistic and the p-price. So we will wantto go to STAT, assessments, and do one-proportionZ-test, or 1-PropZTEST. So at any time when we’transforming with proportions, you’ll STAT, exams. We in reality want the phrase Prop in there, so we do not want tochoose the ordinary Z-test. We need to choose theone-share Z-scan, in view that we’ve proportions. So we get the one-proportion Z-scan, and the very first thing itasks for is p-sub-zero. So we ought to understand p-sub-zero is the hypothesized percentage. So we have to enter thehypothesized share, which here is zero.5. On the way to enter 0.5, and Enter. After which we also need X.X right here is the numberof sure’s within the sample. So whereas p-zero is a share, X is a quantity, and it is the quantity ofactual sure’s in the sample. So right here, i do know that fifty two% ofthe 500 respondents mentioned yes. So i can do that calculation in my head or i will be able to do it on the calculator right here, so I get fifty two% or 0.52, occasions the five hundred, so this is fifty two% of the five hundred, is 260. So that is how manyyes’s were in the sample. This must be an integer. So if this calculation comesout not to be an integer, you have to circular itto the closest integer, in any other case you’ll get an error.So we have now p-zero is thehypothesized proportion, X is the quantity of yes’s inthe pattern as an integer, N is our pattern size, which is 500. Use the Down arrow and the Over arrow to search out our alternatehypothesis is higher than. So we hit Enter right here tohighlight the greater than, which goes this bigger than. Hit the Down arrow again,and hit Enter for calculate. And we get our Z-statistic of 0.89. So as to fill that in. And our p-worth of zero.186, shall we say. 0.186. That is definitely higher than alpha, so we do not reject H-sub-o.And we don’t have any evidencethat her true help is bigger than 50%. We have no evidence thather manager used to be proper. That’s it for this video. In case you like this video, give it a thumbs-up and subscribe below. Thanks for gazing..

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