What does the result suggest about the claim that there are more than​ 70,000 defined​ words?

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#35- A simple random sample of 10 pages from a dictionary is obtained. The numbers of words defined on those pages are​ found, with the results n=10​, (bar x)=55.7 ​words, s=16.5 words. Given that this dictionary has 1492 pages with defined​ words, the claim that there are more than​ 70,000 defined words is equivalent to the claim that the mean number of words per page is greater than 46.9 words. Use a 0.01 significance level to test the claim that the mean number of words per page is greater than 46.9 words. What does the result suggest about the claim that there are more than​ 70,000 defined​ words? Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. Assume that the population is normally distributed.

What are the null and alternative​ hypotheses?
A. H0​: μ=46.9 words
H1​: μ>46.9words
 
B. H0​: μ>46.9words
H1​: μ<46.9 words
 
C. H0​: μ=46.9 words
H1​:μ≠46.9 words
 
D. H0​: μ=46.9 words
H1​: μ<46.9 words
 
Determine the test statistic.
_____​(Round to two decimal places as​ needed.)
 
Determine the​ P-value.
_____​(Round to three decimal places as​ needed.)
 
State the final conclusion that addresses the original claim.
 
(Fail to reject/ Reject) H0. There is (sufficient/not sufficient)
evidence to support the claim that there (are/are fewer than/are more than) 70,000 defined words in the dictionary.
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