![]() ![]() At one point, before clinical trials of the exogenous election technique was discontinued, 945 birds consisted off a different surname, Baby Goes and Successes, Baby Boys. Microsoft's exhort gender selection technique who was designed to increase the likelihood that the baby will be a girl. Let us try to look at what this question is saying. ![]() ![]() And we can say that exhort method is more effective. So we can see that the confidence interval off exhort method lies completely above the confidence interval of device or method which indicates that exhort method is more effective than the y sort method. So what is going to be the interval? My pee comes out to be between 77.73 to 86.53 between 77.73% to 86.53 percent. In order to find the interval, let us apply this formal over here. So if I just substitute the values I get my 0.440 0.440 This is the value off again. Right? And what am I going to get now? In this case, I get my e s my Ennis to 91 in this case, by the way. And if I use a calculator for this, this turns out to be 0.8213 0.8213 So therefore my cue cap will be one minus you don't 10.8213 or 0.1787 Now the alphabet to will be same 1.96 And we use the same formula that we used over here to find the value off. Now over here what is going to be my pick up? 2. So let us come down now we want the vice sort matter Vai sort method. Similarly, we will find on interval for Why? Sort method. Okay, so what will this be? This will be 91.4% to 94.64% 91.4% to 94.64% If I am not wrong Yes. I get my e to be 0.1 16 e is equal to 0.162 Now I have P cap and I hav e So how do I write my confidence? Interval My confidence interval in this case will become speak at minus e speak at minus e less than less than p cap plus e. So if I substitute all the values over here. Which means my Z elca by two that I'm going to use is 1.96 What is the formula for margin off error for margin of error ease equal to Z Alfa by two multiplied by route over P cap que capped by n. What is the confidence interval? It is 95% confidence in double. So this is going to be one minus 0.930 to 0.6 90 0698 All right. Right? And this is going to become 0.9302 0.9302 So what is Q Cap que cap will be one minus 0.930 to So just give me a moment. Okay, so P cap in that sort method is going to be 8 79 by 9. So the matter is very effective because it performs above average. Does the use sort method up here to be effective? Mhm Yeah. So does the beat back? The c pad is based on the resource. So with this Okay, what? We have zero pawn 76 34. Yeah, the estimate is within this interval. That means we can write the interval us 0.8: 1 30 -0.0579. So unless we can find the error just equal to 2.58 square bridge of zero on 8213. We already have this us zero point eight 213. Now the end the number of the sample size. Okay then we observe considered a took out there. So we have 995 year and that is yeah 2.5 eight. So here we have does E us Z which is you're looking at 99% confidence interval. Two times The proportion times 1 -1 the proportion All over the numbers that we are looking at. Now uh error is called to the critical value for our phone. Okay and that's the best estimate for the first back the second by looking at uh The 99 confidence interval of disproportion we would need yeah. Okey nut a total number and oh we are looking at the proportion that is actually voice so that is the you bend the voice. Welcome to this lesson in this lesson we have three questions that we are solving the first one is the best point estimate for the population proportion of voice using the wise sort committed. ![]()
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