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

On this video, we are going to see easy methods to raise outthe one-share Z-test on the TI-eighty three and the eighty four. The guidelines for the twocalculators are identical. We with an illustration from Openintro’s advance high school facts. We have now Deborah Tooheyis jogging for Congress, and her crusade manager claimed that she has more than 50% support from the district’s citizens. A newspaper ballot finds that52% of the five hundred probably voters who had been sampled help Toohey. Does this furnish convincingevidence for the declare via Toohey’s manager atthe 5% significance degree? So we all know we need to calculatea one-share Z-scan. We have our null hypothesisthat her proper percentage of support is zero.5, and the alternate hypothesis that her actual percentage ofsupport is bigger than zero.5. When we examine our stipulations, and we do the NP, at all times use the hypothesizedvalue of P here, which is 0.5, not the sample share, which is 0.Fifty two.So here we use the zero.5 fromour hypothesized share to assess that it’s greaterthan or equal to 10 and also assume you havea easy random pattern. And then while you calculate the SE, additionally use the hypothesized proportion. Again, do not use the sampleproportion down right here. The number right here shouldmatch the 2d number, no longer the first quantity. Now that we’ve our quandary installed, we are able to use the calculatorto to find the Z-statistic and the p-price. So we’re going to wantto go to STAT, checks, and do one-proportionZ-test, or 1-PropZTEST. So whenever we’transforming with proportions, you can STAT, exams. We certainly want the phrase Prop in there, so we do not want tochoose the commonplace Z-scan. We want to pick theone-share Z-scan, in view that we now have proportions. So we get the one-proportion Z-test, and the first thing itasks for is p-sub-zero. So we have to comprehend p-sub-zero is the hypothesized percentage. So we have got to enter thehypothesized percentage, which here is zero.5.That allows you to enter 0.5, and Enter. And then we additionally need X. X here is the numberof sure’s in the pattern. So whereas p-zero is a percentage, X is a quantity, and it’s the number ofactual sure’s in the pattern. So here, i know that 52% ofthe 500 respondents mentioned yes. So i will do this calculation in my head or i can do it on the calculator here, so I get fifty two% or zero.52, instances the 500, so this is 52% of the 500, is 260. So this is how manyyes’s had been within the sample.This must be an integer. So if this calculation comesout not to be an integer, you ought to circular itto the nearest integer, or else you’ll be able to get an error. So we have p-zero is thehypothesized share, X is the quantity of yes’s inthe sample as an integer, N is our sample size, which is 500. Use the Down arrow and the Over arrow to seek out our alternatehypothesis is better than.So we hit Enter here tohighlight the greater than, which matches this bigger than. Hit the Down arrow once more,and hit Enter for calculate. And we get our Z-statistic of zero.89. In an effort to fill that in. And our p-worth of zero.186, let’s consider. Zero.186. That is undoubtedly larger than alpha, so we don’t reject H-sub-o. And we don’t have any evidencethat her authentic help is greater than 50%. We don’t have any evidence thather supervisor used to be right. That’s it for this video. In the event you like this video, provide it a thumbs-up and subscribe under. Thanks for gazing..