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​, x=64.7 ​words, s=15.3 words. Given that this dictionary has 1449 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 48.3 words. Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 48.3 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=48.3 words
H1​: μ>48.3 words
B.
H0​: μ=48.3 words
H1​: μ<48.3 words
C.
H0​: μ>48.3 words
H1​: μ<48.3 words
D.
H0​: μ=48.3 words
H1​: μ≠48.3 words
(I also need to test statistic and p-value) thank you in advance :)