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

On this video, we will see carry outthe one-proportion Z-scan on the TI-eighty three and the eighty four. The instructions for the twocalculators are same. We begin with an illustration from Openintro’s develop high institution records. We have now Deborah Tooheyis running for Congress, and her campaign supervisor claimed that she has greater than 50% aid from the district’s voters. A newspaper poll finds that52% of the 500 likely voters who were sampled help Toohey. Does this provide convincingevidence for the declare by Toohey’s manager atthe 5% importance degree? So we all know we need to calculatea one-proportion Z-scan. We’ve our null hypothesisthat her authentic share of aid is 0.5, and the alternate speculation that her real share ofsupport is larger than zero.5. Once we verify our stipulations, and we do the NP, constantly use the hypothesizedvalue of P here, which is zero.5, not the pattern proportion, which is zero.52. So right here we use the zero.5 fromour hypothesized share to investigate that it can be greaterthan or equal to 10 and in addition assume 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 quantity right here shouldmatch the 2d number, now not the primary quantity. Now that we’ve our drawback established, we can use the calculatorto find the Z-statistic and the p-worth. So we’ll wantto go to STAT, exams, and do one-proportionZ-test, or 1-PropZTEST. So every time we’transforming with proportions, you’ll be able to STAT, tests. We clearly want the word Prop in there, so we don’t want tochoose the general Z-scan. We want to select theone-proportion Z-test, in view that now we have proportions. So we get the one-percentage Z-test, and the first thing itasks for is p-sub-zero. So we ought to know p-sub-zero is the hypothesized percentage. So we have got to enter thehypothesized proportion, which right here is zero.5.So that you can enter zero.5, and Enter. After which we additionally want X. X here is the numberof sure’s within the sample. So whereas p-zero is a proportion, X is a quantity, and it can be the number ofactual sure’s within the sample. So right here, i know that fifty two% ofthe 500 respondents stated sure. So i will 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 500, so that is 52% of the 500, is 260. So that is how manyyes’s have been within 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, otherwise you’ll be able to get an error. So we now have p-zero is thehypothesized share, X is the quantity of yes’s inthe pattern as an integer, N is our sample measurement, which is 500.Use the Down arrow and the Over arrow to search out our alternatehypothesis is greater than. So we hit Enter here tohighlight the better 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 we can fill that in. And our p-value of 0.186, let’s consider. Zero.186. That is definitely larger than alpha, so we do not reject H-sub-o. And we haven’t any evidencethat her genuine aid is greater than 50%. We don’t have any proof thather manager used to be proper. That’s it for this video. When you like this video, give it a thumbs-up and subscribe under. Thanks for looking at.. 