Mr. Beast, a famous YouTuber known for his creative and engaging content, decides to test the effectiveness of different thumbnail designs to see which generates more clicks (and therefore views!). For his latest video, he creates two thumbnails: one designed to evoke curiosity (Curiosity Thumbnail) and another designed to highlight the entertainment value of the video (Entertainment Thumbnail). He then randomly assigns these thumbnails to two different groups of his subscribers and measures the number of clicks each video receives from these groups.

	Curiosity Thumbnail	Entertainment Thumbnail
User Clicked	26754	19432
Total subscribers who saw the thumbnail	316000	129000

Use the following hypotheses, where the proportion for each group is the proportion of people who click the thumbnail:

H₀: p_curiosity - p_{entertainment} = 0

H_A:p_curiosity - p_{entertainment} 0

What is the difference in proportion of people who click the "Curiosity" thumbnail compared to the "Entertainment" thumbnail (_curiosity- _{entertainment})? Round your answer to three decimal places.

What is the pooled value of (this value is used to calculate the test statistic)? Answer to four decimal places.

Assume that the test statistic found is -50. What is your decision using =0.001? Reject or Fail to reject?