Hypothesis Testing on Facebook

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Statistics- Hypothesis Testing on Facebook.

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Hypothesis Testing on Facebook

  1. 1. Koichi TachiyaAverage viewing time
  2. 2. Upper Tail Testμ0 : μ ≤ 13.3333μa : μ > 13.3333(13.3333min/day)
  3. 3. Median=15Mode=10Max=40Minimum=2Range=38n=64x̄=16VarianceS2=Σ(xi-x̄)2=87.687564-1Standard DeviationS=√S2=9.3641
  4. 4. n=64x̄ =16μ0 =13.3333σ =9.3641604α=.05“σ Known case Upper tail test”Z= x ̄- μ0σ/√nZ= 16-13.3333 = 2.6667 = 2.27829.3641/√64 1.1705
  5. 5. μ0 : μ ≤ 13.3333μa : μ > 13.3333P-value ≤ α α = .05.0113 ≤ .05“Reject μ0”Z= 2.2782Area = .9887P-value = 1-.9887= .0113
  6. 6. Interpolations/Recommendation• The number of the time that peoplespend on FB is still increasing.(60% ofthe time spent on Facebook is frommobile devices.)• Nielsen might not add the data.• We are wasting time on Facebookfor 8h/month.(=16minutes/day or =96h/year)
  7. 7. References(2012). top 10 web brands for march 2012 (u.s., total).Nielsen. Retrieved fromhttp://blog.nielsen.com/nielsenwire/online_mobile/march-2012-top-us-online-brands/(2012). Top 10 web brands for september 2012(u.s., total).Nielsen. Retrieved fromhttp://blog.nielsen.com/nielsenwire/online_mobile/september-2012-top-us-web-brands/

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