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

On this video, we are going to see the best way to lift outthe one-proportion Z-experiment on the TI-83 and the eighty four. The guidelines for the twocalculators are same. We with an instance from Openintro’s increase excessive college information. We now have Deborah Tooheyis jogging for Congress, and her crusade supervisor claimed that she has more than 50% help from the district’s citizens. A newspaper ballot finds that52% of the 500 doubtless voters who were sampled support Toohey. Does this provide convincingevidence for the claim via Toohey’s manager atthe 5% importance stage? So we know we need to calculatea one-proportion Z-experiment. We have now our null hypothesisthat her authentic proportion of help is 0.5, and the alternate speculation that her actual proportion ofsupport is larger than zero.5. Once we examine our conditions, and we do the NP, always use the hypothesizedvalue of P right here, which is zero.5, not the pattern percentage, which is zero.Fifty two. So right here we use the zero.5 fromour hypothesized share to assess that it is greaterthan or equal to 10 and likewise count on you havea easy random sample. And then when you calculate the SE, also use the hypothesized share.Once more, don’t use the sampleproportion down here. The quantity here shouldmatch the 2nd number, now not the first quantity. Now that we have our main issue hooked up, we will use the calculatorto find the Z-statistic and the p-worth. So we’re going to wantto go to STAT, tests, and do one-proportionZ-scan, or 1-PropZTEST. So whenever we’transforming with proportions, you’ll STAT, checks. We actually need the phrase Prop in there, so we do not need tochoose the regular Z-experiment. We need to choose theone-percentage Z-experiment, seeing that now we have proportions. So we get the one-percentage Z-experiment, and the first thing itasks for is p-sub-zero. So we must comprehend p-sub-zero is the hypothesized proportion. So we ought to enter thehypothesized percentage, which here is zero.5. A good way to enter 0.5, and Enter. And then we also need X. X here is the numberof yes’s within the pattern. So whereas p-zero is a proportion, X is a quantity, and it’s the quantity ofactual yes’s within the sample. So here, i do know that fifty two% ofthe 500 respondents mentioned sure. So i will be able to do that calculation in my head or i can do it on the calculator here, so I get fifty two% or zero.52, times the 500, so this is 52% of the five hundred, is 260.So this is how manyyes’s were within the pattern. This has to 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 get an error. So we now have p-zero is thehypothesized share, X is the quantity of sure’s inthe pattern as an integer, N is our pattern measurement, which is 500. Use the Down arrow and the Over arrow to search out our alternatehypothesis is better than. So we hit Enter right here tohighlight the higher than, which works this bigger than. Hit the Down arrow again,and hit Enter for calculate. And we get our Z-statistic of 0.89. For you to fill that in. And our p-worth of zero.186, shall we embrace. Zero.186. This is without doubt larger than alpha, so we do not reject H-sub-o. And we don’t have any evidencethat her true help is better than 50%. We have no evidence thather manager was once right. That’s it for this video. When you like this video, provide it a thumbs-up and subscribe below.Thanks for gazing.. 