October 27, 2023

Topics Learnt Today:

1: One-Tailed Test:

  • For the scenario:  Average age in State A is higher than the national average age.
  • Null Hypothesis (H0): State A’s average age is either the same as or less than the average age of the country.
  • The alternative hypothesis (H1) is that State A’s average age is noticeably older than the average age of the country.
  • Average age in State A is statistically higher than the national average in this one-tail (right-tail) test.

2: Two-Tailed Test:

  • For the scenario: Number of fatal police shootings during different months of the year in a city within the US.
  • The number of gunshot occurrences in a given month is equal to the annual average, according to the null hypothesis (H0).
  • The number of gunshot occurrences in at least one month differs significantly from the annual average, according to the alternative hypothesis (H1).
  • Regardless of whether the monthly shooting event count is higher or lower than the annual average, there is a substantial deviation from the norm using this two-tail test.

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