Determine test statistic and determine p value ### Hypothesis Testing in DictionariesA simple random sample of 10 pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the results \( n = 10 \), \( \bar{x} = 55.3 \) words, \( s = 16.1 \) words. Given that this dictionary has 1459 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 48.0 words. Use a 0.01 significance level to test the claim that the mean number of words per page is greater than 48.0 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?**A.**- \( H_0 \): \(\mu = 48.0\) words- \( H_1 \): \(\mu > 48.0\) words**B.**- \( H_0 \): \(\mu = 48.0\) words- \( H_1 \): \(\mu \neq 48.0\) words**C.**- \( H_0 \): \(\mu \ge 48.0\) words- \( H_1 \): \(\mu < 48.0\) words**D.**- \( H_0 \): \(\mu = 48.0\) words- \( H_1 \): \(\mu < 48.0\) wordsThe correct selection is option **A**:- \( H_0 \): \(\mu = 48.0\) words- \( H_1 \): \(\mu > 48.0\) words---#### Determine the test statistic.- (Round to two decimal places as needed.)---

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Find the test statistics, p-value and confidence interval using statcrunch or excel. thank you
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