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

In this video, we will see tips on how to elevate outthe one-share Z-test on the TI-83 and the eighty four. The instructional materials for the twocalculators are same. We start with an illustration from Openintro’s strengthen excessive university facts. We’ve Deborah Tooheyis running for Congress, and her crusade supervisor claimed that she has more than 50% aid from the district’s citizens. A newspaper poll finds that52% of the five hundred probably voters who had been sampled aid Toohey. Does this provide convincingevidence for the claim with the aid of Toohey’s supervisor atthe 5% value level? So we know we need to calculatea one-percentage Z-experiment. We have now our null hypothesisthat her real share of aid is zero.5, and the alternate speculation that her actual proportion ofsupport is larger than zero.5. When we verify our conditions, and we do the NP, constantly use the hypothesizedvalue of P here, which is zero.5, now not the pattern proportion, which is 0.Fifty two.So right here we use the zero.5 fromour hypothesized proportion to check that it is greaterthan or equal to 10 and in addition anticipate you havea easy random pattern. And then when you calculate the SE, additionally use the hypothesized share. Again, do not use the sampleproportion down right here. The number here shouldmatch the 2d number, now not the first number. Now that we’ve our situation set up, we are able to use the calculatorto find the Z-statistic and the p-price. So we’ll wantto go to STAT, tests, and do one-proportionZ-experiment, or 1-PropZTEST. So every time we’reworking with proportions, you’ll STAT, exams. We virtually want the word Prop in there, so we do not need tochoose the general Z-scan. We want to prefer theone-percentage Z-scan, considering we’ve proportions. So we get the one-share Z-experiment, and the very first thing itasks for is p-sub-zero. So we must be aware of p-sub-zero is the hypothesized percentage. So we have to enter thehypothesized proportion, which here is 0.5. A good way to enter 0.5, and Enter. After which we additionally want X.X here is the numberof yes’s in the pattern. So whereas p-zero is a percentage, X is a quantity, and it is the quantity ofactual sure’s in the pattern. So right here, i know that 52% ofthe 500 respondents said sure. So i will be able to do that calculation in my head or i will be able to do it on the calculator here, so I get 52% or 0.Fifty two, instances the five hundred, so this is fifty two% of the 500, is 260. So this is how manyyes’s have been within the sample. This must be an integer. So if this calculation comesout to not be an integer, you ought to circular itto the closest integer, in any other case you’ll be able to get an error. So we’ve got p-zero is thehypothesized share, X is the quantity of sure’s inthe pattern as an integer, N is our sample dimension, which is 500.Use the Down arrow and the Over arrow to seek out our alternatehypothesis is bigger than. So we hit Enter here tohighlight the bigger than, which goes this bigger than. Hit the Down arrow again,and hit Enter for calculate. And we get our Z-statistic of zero.89. As a way to fill that in. And our p-price of 0.186, shall we say. 0.186. This is absolutely better than alpha, so we don’t reject H-sub-o. And we don’t have any evidencethat her true aid is better than 50%. We have no evidence thather manager used to be right. That’s it for this video. If you happen to like this video, supply it a thumbs-up and subscribe under. Thanks for gazing.. 