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

On this video, we are going to see the right way to raise outthe one-share Z-test on the TI-83 and the eighty four. The guidelines for the twocalculators are equal. We begin with an instance from Openintro’s advance excessive university facts. We have now Deborah Tooheyis strolling for Congress, and her campaign supervisor claimed that she has more than 50% support from the district’s electorate. A newspaper ballot finds that52% of the 500 probably voters who had been sampled aid Toohey. Does this furnish convincingevidence for the declare via Toohey’s manager atthe 5% significance stage? So we all know we need to calculatea one-share Z-test.We now have our null hypothesisthat her real share of aid is zero.5, and the alternate speculation that her authentic percentage ofsupport is larger than 0.5. Once we assess our conditions, and we do the NP, perpetually use the hypothesizedvalue of P right here, which is 0.5, not the sample proportion, which is 0.52. So here we use the 0.5 fromour hypothesized percentage to determine that it can be greaterthan or equal to 10 and also expect you havea simple random pattern.And then when you calculate the SE, additionally use the hypothesized percentage. Again, don’t use the sampleproportion down right here. The number right here shouldmatch the 2d quantity, now not the first quantity. Now that we have our hindrance hooked up, we are able to use the calculatorto in finding the Z-statistic and the p-value. So we’re going to wantto go to STAT, tests, and do one-proportionZ-scan, or 1-PropZTEST. So every time we’reworking with proportions, you’ll be able to STAT, tests. We surely need the phrase Prop in there, so we do not need tochoose the regular Z-test. We want to decide on theone-proportion Z-scan, for the reason that now we have proportions. So we get the one-percentage Z-experiment, and the very first thing itasks for is p-sub-zero.So we ought to comprehend p-sub-zero is the hypothesized proportion. So we ought to enter thehypothesized proportion, which here is 0.5. In an effort to enter zero.5, and Enter. And then we additionally need X. X here is the numberof yes’s within the pattern. So whereas p-zero is a share, X is a number, and it is the number ofactual sure’s in the sample. So here, i do know that 52% ofthe 500 respondents said sure. So i can try this calculation in my head or i can do it on the calculator right here, so I get 52% or zero.52, instances the 500, so this is 52% of the five hundred, is 260. So this is how manyyes’s were in the pattern. This needs to be an integer. So if this calculation comesout to not be an integer, you ought to round itto the closest integer, in any other case you’ll get an error. So we have now p-zero is thehypothesized share, X is the number 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 larger than. So we hit Enter right here tohighlight the greater than, which matches this greater than. Hit the Down arrow once more,and hit Enter for calculate. And we get our Z-statistic of 0.89. So that it will fill that in. And our p-price of zero.186, let’s assume. Zero.186. That is obviously bigger than alpha, so we do not reject H-sub-o. And we have no evidencethat her true support is better than 50%. We have no proof thather supervisor used to be correct. That is it for this video. In case you like this video, provide it a thumbs-up and subscribe beneath. Thanks for observing.. 