Question

Samuel Morse suggested in the nineteenth century that the letter "t" made up 9% of the English language. Assume this is still correct. A random sample of 1000 letters is taken from a randomly selected, large book and the t's are counted. a. What value should we expect for our sample percentage of t's? b. Calculate the standard error. c. Use your answers to fill in the blanks

Answer 1

Explanation:

Given that Samuel Morse suggested in the nineteenth century that the letter "t" made up 9% of the English language. we can assume this is still correct.

Sample size n =1000

Assuming right we find no of t's would be binomial with p = 0.09

a) Expected sample percentage = 9%

b) Standard error =
`\sqrt{(0.09(0.91))/(1000) } \\=0.00905`

Expected numbers in 1000 letters book

=
`1000(9/100) = 90`