Now assume it is true that 60.98% of all words in the English language contain the letter "e" (as given in the source above).  Generate a simulated distribution of 1000 sample statistics for simulated samples of 20 words from the English language.  In the space below, include a copy-and-paste of your simulated distribution.  You need to be using the "Proportion of Successes" option, and that is the picture you need to copy and paste. Your picture needs to show all the values that you entered in the applet.     (h)  If we used this simulated distribution of sample statistics and the 2SD rule to find the "cutoffs" for "usual" vs." unusual" sample statistics, then what would those cutoff values be?  Find the values, and show all your work.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Now assume it is true that 60.98% of all words in the English language contain the letter "e" (as given in the source above).  Generate a simulated distribution of 1000 sample statistics for simulated samples of 20 words from the English language.  In the space below, include a copy-and-paste of your simulated distribution.  You need to be using the "Proportion of Successes" option, and that is the picture you need to copy and paste. Your picture needs to show all the values that you entered in the applet.

 

 

(h)  If we used this simulated distribution of sample statistics and the 2SD rule to find the "cutoffs" for "usual" vs." unusual" sample statistics, then what would those cutoff values be?  Find the values, and show all your work.

 

 

(i)  Which of the following conclusions does your observed sample statistic support?

  • It is plausible that 60.98% of words in the English language contain the letter "e"
    OR
  • We have statistically significant evidence that the percentage of words in the English language that contain the letter "e" is not 60.98%"? 
  •  

  • Identify which of those conclusions should be supported based on your observed statistic, and explain how you know which of those conclusions should be supported.

(j)  Explain/describe why we may not be able to trust this conclusion because of the way in which this sample was collected.

 
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