## Hypothesis Testing Example:In this example, we are performing a hypothesis test for a population proportion.### Given:- Null Hypothesis (\( H_0 \)): \( p = 0.20 \)- Alternative Hypothesis (\( H_a \)): \( p \neq 0.20 \)- A sample of 400 provided a sample proportion (\( \bar{p} \)) = 0.175.### Steps:**(a) Compute the value of the test statistic. (Round your answer to two decimal places.)**\[ \text{Test Statistic} = \]**(b) What is the \( p \)-value? (Round your answer to four decimal places.)**\[ p\text{-value} = \]**(c) At \( \alpha = 0.05 \), what is your conclusion?**- \( \circ \) Reject \( H_0 \). There is insufficient evidence to conclude that \( p \neq 0.20 \).- \( \circ \) Do not reject \( H_0 \). There is insufficient evidence to conclude that \( p \neq 0.20 \).- \( \circ \) Do not reject \( H_0 \). There is sufficient evidence to conclude that \( p \neq 0.20 \).- \( \circ \) Reject \( H_0 \). There is sufficient evidence to conclude that \( p \neq 0.20 \).**(d) What is the rejection rule using the critical value? (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)**\[ \text{test statistic} \leq \] \hspace{1em} \[ \text{test statistic} \geq \]**What is your conclusion?**- \( \circ \) Reject \( H_0 \). There is insufficient evidence to conclude that \( p \neq 0.20 \).- \( \circ \) Do not reject \( H_0 \). There is insufficient evidence to conclude that \( p \neq 0.20 \).- \( \circ \) Do not reject \( H_0 \). There is sufficient evidence to conclude that \( p \neq 0.20 \).- \( \circ \) Reject \( H_0 \). There is sufficient evidence to conclude that \( p \neq 0

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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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