A simple random sample of 20 pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the results n= 20, x= 52.5 words, s= 16.3 words. Given that this dictionary has 1488 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 47.0 words. Use a 0.01 significance level to test the claim that the mean number of words per page is greater than 47.0 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? O A. Ho: =47.0 words H pc47.0 words OB. Ho: > 47.0 words H,< 47.0 words OC. Ho 47.0 words H: u#47.0 words OD. Ho: 47.0 words H:> 47.0 words Determine the test statistic. O (Round to two decimal places as needed.) Determine the P.value. O(Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Ho. There is V evidence to support the claim that there v 70,000 defined words in the dictionary

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.