Z Test for Population Proportion with Example Problem | Hypothesis Testing Statistics Video
Z Test for Population Proportion with Example Problem | Hypothesis Testing Statistics
In this video, you will learn, how you can test a hypothesis when a proportion of a population is given like, only 2% of graduates pursue post-graduation in a university.
When the data is given in proportions then the sampling distributions may take the form of binomial probability distributions and in that case, you need to calculate the proportion of success given by ‘p’ and the proportion of failure given by ‘q’ such that p+q=1.
PROBLEM
A certain process produces 10% defective articles. A supplier of new raw materials claims that the use of his material would reduce the proportion of defectives. A random sample of 400 units using this new material was taken to test the claim of the supplier, and it was found that out of 400 units, 34 units were defective units. Now Test at a 1% level of significance, Can the supplier’s claims be accepted?
SOLUTION
To test the hypothesis, in such a case, you need to calculate the proportion of successes in each sample, and then calculate the mean and standard deviation of the proportion of the successes.
Using z-statistic calculate the value of ‘z’ and then compare the critical value of the significance level corresponding to the z-distribution table.
If the calculated value of ‘z’ is greater than the critical value then reject the null hypothesis and if the calculated value of ‘z’ is less than the critical value then continue with the null hypothesis.
You may use the p-value method by calculating the p-value corresponding to the calculated value of ‘z’ from the normal distribution table.
If the p-value is greater than the given significance level then continue with the null hypothesis and if the p-value comes out less than the significance level then reject the null hypothesis.
#ztest #hypothesis #hypothesistesting #statistics #businessstatistics
SUBSCRIBE https://www.youtube.com/shakehandwithlife
DIGITAL DOWNLOADS https://shakehandwithlife.myinstamojo.com
WEBSITE https://shakehandwithlife.in
RELATED VIDEOS
Hypothesis Testing | Basic Concepts Concerning Testing of Hypothesis
https://www.youtube.com/watch?v=LnPp8avQusI&list=PL2H1lLi34F7j49kSzXvcef0_2EaYC85qy
Z-Test and T-Test under different testing conditions with illustrative examples
https://www.youtube.com/watch?v=LnPp8avQusI&list=PL2H1lLi34F7j49kSzXvcef0_2EaYC85qy
Measures of central tendency (Mean, Median, Mode) with illustrative examples
https://www.youtube.com/watch?v=_8dJYsa2MG8&list=PL2H1lLi34F7iYhQzgpPo0dDCG9g8_maNq
Measures of Variation (Range and Standard deviation, Skewness, and Kurtosis) with illustrative examples
https://www.youtube.com/watch?v=9jd2115vASU&list=PL2H1lLi34F7jUhALcv_iP4POtE1AyhYWY
Skewness and Kurtosis in Hindi with illustrative examples
https://www.youtube.com/watch?v=GQtp3JC2KRs&list=PL2H1lLi34F7j4sTH0YMVlSpd4Sfx1VymM
JOIN US ON
Linkedin: https://www.linkedin.com/company/shakehandwithlife
Facebook: https://www.facebook.com/shakehandwithlife
SlideShare: http://www.slideshare.net/shakehandwithlife
Blog: http://www.blog.shakehandwithlife.in/
WhatsApp Broadcast: +91-9468267324
About the Site 🌐
This site provides links to random videos hosted at YouTube, with the emphasis on random. 🎥
Origins of the Idea 🌱
The original idea for this site stemmed from the need to benchmark the popularity of a video against the general population of YouTube videos. 🧠
Challenges Faced 🤔
Obtaining a large sample of videos was crucial for accurate ranking, but YouTube lacks a direct method to gather random video IDs.
Even searching for random strings on YouTube doesn't yield truly random results, complicating the process further. 🔍
Creating Truly Random Links 🛠️
The YouTube API offers additional functions enabling the discovery of more random videos. Through inventive techniques and a touch of space-time manipulation, we've achieved a process yielding nearly 100% random links to YouTube videos.
About YouTube 📺
YouTube, an American video-sharing website based in San Bruno, California, offers a diverse range of user-generated and corporate media content. 🌟
Content and Users 🎵
Users can upload, view, rate, share, and comment on videos, with content spanning video clips, music videos, live streams, and more.
While most content is uploaded by individuals, media corporations like CBS and the BBC also contribute. Unregistered users can watch videos, while registered users enjoy additional privileges such as uploading unlimited videos and adding comments.
Monetization and Impact 🤑
YouTube and creators earn revenue through Google AdSense, with most videos free to view. Premium channels and subscription services like YouTube Music and YouTube Premium offer ad-free streaming.
As of February 2017, over 400 hours of content were uploaded to YouTube every minute, with the site ranking as the second-most popular globally. By May 2019, this figure exceeded 500 hours per minute. 📈
List of ours generators⚡
Random YouTube Videos Generator
Random Film and Animation Video Generator
Random Autos and Vehicles Video Generator
Random Pets and Animals Video Generator
Random Travel and Events Video Generator
Random People and Blogs Video Generator
Random Entertainment Video Generator
Random News and Politics Video Generator
Random Howto and Style Video Generator
Random Education Video Generator