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Question: On YouTube, videos are displayed to viewiers with a preview image, which is known as a thumbnail. Creators who post videos on YouTube are often told that the choice of thumbnail they attach to a video is one of the most important factors for gaining increased viewership. One way to measure the success of a thumbnail is by the click-through rate: the proportion of users who click on a video out of those who saw the video thumbnail. YouTubers will test the performance of thumbnails by swapping thumbnails every 24 hours, and eventually staying with the one that has the largest click-through rate. This is typically referred to as A/B testing. An upcoming content creator has performed an experiment with their video thumbnails over a 48-hour time span. In the first 24 hours, they used thumbnail A, and the video thumbnail was shown to 10,816 users, of which 397 clicked on the video. In the second 24 hours, they used thumbnail B, and the video thumbnail was shown to 12,392 users, of which 524 clicked on the video. Use suitable R commands to investigate the results, and summarise your findings so that they could be understood by a non-statistician and are relevant for the content creator. Assume a 5% level of significance. Complete Question 2 using R. The only functions you may use are the built-in R functions that have been studied in the labs. Submit the code/commands you used and the output you are basing your summary on. Give numbers to at least 3 decimal places.
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