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Exercise 13

Avg difficulty 3.0

Website registration. A website is trying to increase registration for first-time visitors, exposing 1% of these visitors to a new site design. Of 752 randomly sampled visitors over a month who saw the new design, 64 registered.

  1. Check any conditions required for constructing a confidence interval.

  2. Compute the standard error.

  3. Construct and interpret a 90% confidence interval for the fraction of first-time visitors of the site who would register under the new design (assuming stable behaviors by new visitors over time).

Diez, Barr & Çetinkaya-Rundel, OpenIntro Statistics, Foundations for inference, End-of-Chapter Exercises, Exercise 13

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Adapted from OpenIntro Statistics © 2019 David Diez, Mine Çetinkaya-Rundel & Christopher D. Barr. Licensed under CC BY-SA 3.0. Source: OpenIntro Statistics. Imported at revision fee2509.