In Exercises 21-28, find the probability and answer the questi...

Question

In Exercises 21-28, find the probability and answer the questions.

YSORT Gender Selection MicroSort’s YSORT gender selection technique is designed to increase the likelihood that a baby will be a boy. At one point before clinical trials of the YSORT gender selection technique were discontinued, 291 births consisted of 239 baby boys and 52 baby girls (based on data from the Genetics & IVF Institute). Based on these results, what is the probability of a boy born to a couple using MicroSort’s YSORT method? Does it appear that the technique is effective in increasing the likelihood that a baby will be a boy?

Accepted Answer

Welcome back, everyone, to another video. A new agricultural technique claims to increase the likelihood of growing a high yield crop. In a recent study before the technique was discontinued, 280 crops were grown using this method. Of these, 220 produced high yields. While 60 had low yields, based on these results, A, what is the probability that a randomly selected crop grown using this method will have a high yield, and B, does the technique appeared to be effective in increasing the likelihood of a high yield crop. So let's begin solving this problem with part A. Where is the probability that a randomly selected crop grown using this method will have a high yield? We want to estimate the probability of high yield. Let's recall that probabilities we present. The ratio between two numbers. The number of favorable outcomes and the total number of outcomes. So we're looking for the number of high yield crops, that would be 220, according to the context of the problem, and then the total number of crops is 280. And now we can multiply that by 100% to express our answer in terms of percentage. This gives us 78.6%, which is our first answer to this problem. Now let's move on to B. And let's answer the question. Does the technique appear to be effective in increasing the likelihood of a high yield crop? Well, essentially we have to use the comparison between the given percentage, 78.6% and 50%, right? The quantity that we have, 78.6%, is significantly higher than 50%. So it is likely that the technique appears to be effective in increasing high yield crops. However, to conclusively determine effectiveness, we would need statistical hypothesis testing to compare this proportional to a control group. But based on the data that we have, we can conclude that. Since This number, meaning 70.6%. He is Significantly Higher than 50%. The technique appears. To be Effective And that would be our answer. To the second part of the problem. Let's label it and thank you for watching.

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Key Concepts

Probability

Statistical Significance

Sample Size

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