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

On this video we’ll see how to assess the Z-teststatistic and p-price for the 2 percentage Z-experiment. The directions for theTI-eighty three and eighty four are same. And we will with this instance, the equal one we used for thetwo proportion Z-interval. Just to summarize the concern,we have now a current supplier and we now have a prospective supplier. And we wish to comprehend is there proof that the potential supplier has a bigger price of passing the inspection considering that if they do we’regoing to move with them. So our null hypothesis isthat the genuine proportions that might cross inspection arethe same for the two groups and our alternate hypothesis, the one we’re seeking to seeif there is evidence for, is that the prospectivesupplier has a higher price of passing inspectionthan the present provider.So, first we stock out the initial steps. We set our importance stage alpha, we ought to expect that there is two independent,random samples right here. And now, distinctive from after we did the two proportionZ-interval, we’re going to seem at this quantity, which isthe pooled percentage, p-hat. And the purpose for this isbecause we’ve got a null declare that claims that the p1 equals p2. So in a similar way to once we didthe one proportion Z-scan and we had a hypothesized value for p, we use that hypothesized valuein checking our stipulations and in calculating the SE. So here what we’re going todo is use our satisfactory estimate for what this percentage thatthese two equal maybe. And so our high-quality estimate for that’s to combine our two sample proportions. And we do that by addingthe total quantity of yeses over the whole pattern size and here we get 0.9285. So this variety we’ll use when we assess our conditionsand we’re also going to use it in the SE formula.So right here now we have ourn1[p-hat], n1[1 minus p-hat] n2[p-hat] and n2[1 minus p-hat] are all larger than or equal to 10. And now after we calculate our SE, we have to go to the formulation sheet and we’re looking at thedifference of sample proportions and we have now this specialcase where p1 equals p2. This is our null hypothesis.So on the grounds that we now have this speculation right here, we will use thisstructure written right here for our SE. So we’ve got p-hat here, 1minus p-hat, et cetera. So we fill within the numbers, and now we’re capable tograb the calculator. So, we continually start with STAT, assessments, and this time we’re goingto go to 2-PropZTest. So let’s go to STAT, exams,and to find 2-PropZTest. 2-PropZTest, here it’s. So x1 is 899, n1 is thesample size of 1000, x2 is 958, consider x1 andx2 have got to be integers. Of course, n1 and n2 haveto be integers as well. So n2 can also be a thousand. And now our alternate claimis that p1 is less than p2, so we are going to decide on the less than and now we will do Calculate. And we see we get a Z-ranking of -5.12 and a p-price very, very small. Observe this additionally offers youp-hat, the pooled share. So here’s our .9285, whichis what we calculated here and they suit. So what’s our conclusion? Our p-value is much not up to alpha, so we reject H sub zero,we have now proof that the potential provider hasa larger real cross inspection than the current provider, so we will have to go together with theprospective supplier.That’s it for this video, if you happen to liked it supply it athumbs up and subscribe below. Thanks for watching.. 