Question

In: Statistics and Probability

Are there more words in the English language That start with an "r" OR For which...

Are there more words in the English language

  1. That start with an "r"
    OR
  2. For which "r" is the third letter

How do you calculate these statistical hypothesis?

Solutions

Expert Solution

Statistical Hypothesis is formulated such that the null hypothesis asserts a statement which is generally accepted with respect to the context it is being asserted in and the alternative hypothesis negates that statement. Based on some assumptions and evidences we either accept or reject the null hypothesis with a certain level of probabilistic significance.

Here, if we assumed that the null hypothesis to be,

H 0 : The number of words in English Language that start with ''r'' is greater than the no of words for which ''r'' is the third letter. vs. the alternative hypothesis

H 1 : The number of words in English Language that start with ''r'' is not greater than the no of words for which ''r'' is the third letter.

But here the testing problem is not probabilistic rather deterministic since the actual number of these could be calculated and compared, to give an answer to this question in a deterministic (certain) way. So, although one can formulate the hypothesis for the testing problem but it would be a deterministic test not a statistical or probabilistic one.

Feel free ask any doubts and share your thoughts and feedback in the comments below. If you like my answer then give a thumbs up!!!! Thank you.


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