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 = 653 words .5=(6.7 wordsGiven this has 1471 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 47.6 words a 0.05 significance level to test the claim that the mean number of words per page is greater than 47.6 words What does the result suggest about the claim there are more than 70,000 fined 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.