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

On this video, we’ll see the right way to raise outthe one-proportion Z-experiment on the TI-83 and the 84. The instructional materials for the twocalculators are equal. We with an instance from Openintro’s enhance excessive college records. Now we have Deborah Tooheyis strolling for Congress, and her campaign manager claimed that she has more than 50% support from the district’s voters. A newspaper ballot finds that52% of the 500 doubtless voters who had been sampled aid Toohey. Does this provide convincingevidence for the claim by means of Toohey’s manager atthe 5% value stage? So we know we need to calculatea one-proportion Z-experiment. We have now our null hypothesisthat her genuine percentage of support is 0.5, and the alternate hypothesis that her real percentage ofsupport is higher than 0.5.After we verify our conditions, and we do the NP, perpetually use the hypothesizedvalue of P right here, which is 0.5, no longer the pattern share, which is zero.Fifty two. So here we use the zero.5 fromour hypothesized percentage to examine that it can be greaterthan or equal to 10 and also assume you havea simple random pattern. And then whilst you calculate the SE, also use the hypothesized percentage. Again, don’t use the sampleproportion down right here. The number here shouldmatch the 2d number, now not the primary quantity.Now that we have our predicament installed, we are able to use the calculatorto in finding the Z-statistic and the p-price. So we’ll wantto go to STAT, tests, and do one-proportionZ-test, or 1-PropZTEST. So each time we’transforming with proportions, you’ll be able to STAT, exams. We surely want the phrase Prop in there, so we do not want tochoose the general Z-experiment. We want to select theone-proportion Z-test, because we’ve got proportions. So we get the one-proportion Z-test, and the first thing itasks for is p-sub-zero. So we have got to be aware of p-sub-zero is the hypothesized share. So we have got to enter thehypothesized percentage, which right here is zero.5. As a way to enter zero.5, and Enter. After which we additionally want X. X here is the numberof sure’s in the pattern. So whereas p-zero is a proportion, X is a number, and it’s the quantity ofactual yes’s within the pattern. So here, i do know that 52% ofthe 500 respondents stated yes.So i will do that calculation in my head or i can do it on the calculator right here, so I get fifty two% or 0.Fifty two, 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 have got to round itto the nearest integer, in any other case you can get an error. So we now have p-zero is thehypothesized proportion, X is the quantity of sure’s inthe pattern as an integer, N is our pattern size, 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 bigger than, which works this higher than. Hit the Down arrow again,and hit Enter for calculate. And we get our Z-statistic of 0.89. So that you can fill that in. And our p-worth of zero.186, let’s say. 0.186. That is definitely greater than alpha, so we don’t reject H-sub-o.And we don’t have any evidencethat her actual support is higher than 50%. We have no proof thather manager was once proper. That is it for this video. When you like this video, supply it a thumbs-up and subscribe under. Thanks for observing.. 