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 3D20, x 55.1 words, s=15.1 words. Given that this dictionary has 1432 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 48.9 words. Use a 0.01 significance level to test the claim that the mean number of words per page is greater than 48.9 words. WWhat 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.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.