SOLUTION: When I conducted a test I found that a paragraph containing 566 words, 51 of them were the letter e. Test claim that 12.7% of all letters in the english text are e. Test the clai

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Question 65917: When I conducted a test I found that a paragraph containing 566 words, 51 of them were the letter e. Test claim that 12.7% of all letters in the english text are e. Test the claim that the letter e appears 12.7% of the time. Use probability = 0.01.
Answer by stanbon(75887) About Me  (Show Source):
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When I conducted a test I found that a paragraph containing 566 words, 51 of them were the letter e. Test claim that 12.7% of all letters in the english text are e. Test the claim that the letter e appears 12.7% of the time. Use probability = 0.01.
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Ho:p=0.127
Ha:p is not equal to 0.127
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x=51 ; n=566 ; x-bar=51/566; alpha=0.01
This requires a one-proportion Z-test:
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Test statistic: z=-2.636
p-value=0.00839
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Since p-value < alpha = 0.01 ,Reject Ho
Conclusion: p is not equal to 0.127
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Cheers,
Stan H.