# Hypothesis TestingIn this section, we will review a sample problem related to hypothesis testing using the given test statistic. ---**Problem Statement**The test statistic of $ z = 2.47 $ is obtained when testing the claim that $ p > 0.1 $.**Questions:****a.** Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.**b.** Find the P-value.**c.** Using a significance level of $ \alpha = 0.10 $, should we reject $ H_0 $ or should we fail to reject $ H_0 $?---**Step-by-Step Solution:**### a. Type of Hypothesis Test**Determine the Type:**- Since the claim is $ p > 0.1 $, we are interested in whether the value is greater than 0.1.- This indicates a **right-tailed** test, as we are looking for values significantly larger than 0.1.**Answer for Part (a):**- This is a **right-tailed** test.### b. Finding the P-value**Usage of the Standard Normal Distribution Table:**- Click the links below to access the standard normal distribution table: - [Page 1 of the standard normal distribution table](#) - [Page 2 of the standard normal distribution table](#) Using the table to find P-value for $ z = 2.47 $:1. Locate 2.4 in the leftmost column of the table.2. Locate 0.07 in the topmost row of the table.3. The intersection gives the area to the left of $ z = 2.47 $. To find the P-value for a right-tailed test, subtract this area from 1.Thus:- P-value = $ 1 - \text{Area to the left of } z $### c. Decision Based on Significance Level**Testing with $ \alpha = 0.10 $**- If the P-value is less than $ \alpha $, we reject the null hypothesis $ H_0 $.- If the P-value is greater than $ \alpha $, we do not reject $ H_0 $.**Conclusion for Part (c):**- Compare the calculated P-value in part (b) with 0.10 and

It is given that the, In the testing problem, we claim that p>0.1. So, a) H0 : p=0.1 and H1:…

The test statistic of z = 2.47 is obtained when testing the claim that p>0.1. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. iooonoe louol of m-0 10 shuld wo roiect U chould wo foil t

The test statistic of z = 2.47 is obtained when testing the claim that p>0.1. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. iooonoe louol of m-0 10 shuld wo roiect U chould wo foil t

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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