**Survey Analysis on Online Education Perception Among College Presidents**A recent survey found that 55% of college presidents believe that their online education courses are as good as or superior to traditional face-to-face instruction. The following prompts illustrate the steps to test the claim made by the survey statistically.### Question:**a. Give the null hypothesis for testing the claim made by the survey.** **b. Give the rejection region for a two-tailed test conducted at α = 0.01.**#### Answer:**a. What is the null hypothesis?**The null hypothesis (H₀) for the survey claim can be expressed as:\[ H₀: p = 0.55 \]where \( p \) represents the proportion of college presidents who believe that their online courses are as good as or superior to traditional face-to-face instruction.**b. What is the rejection region?**The rejection region for a two-tailed test at α = 0.01 requires determining the critical z-values that correspond to this significance level. The options given are:- **A. \[ \_\_\_\ < z < \_\_\_\ ]**- **B. \[ z < \_\_\ \text{ or } z > \_\_\ ]**- **C. \[ z < \_\_\_\ ]**- **D. \[ z > \_\_\_\ ]**To find the critical z-values, we need to locate the z-scores that form the cutoff points for the tails. The area in each tail will be \(\frac{\alpha}{2} = 0.005\). Using z-tables or a statistical calculator, the critical values for a two-tailed test at α = 0.01 are approximately ±2.576.Thus, the rejection region to test this hypothesis is:\[ z < -2.576 \text{ or } z > 2.576 \]Figuratively, this corresponds to option:- **B. \[ z < -2.576 \text{ or } z > 2.576 \]**

Here we want to know null hypothesis and rejection region.

A survey found that 55% of college presidents believe that their online education courses are as good as or superior to courses that use traditional face-to-face instruction. a. Give the null hypothesis for testing the claim made by the survey. b. Give the rejection region for a two-tailed test conducted at a = 0.01. a. What is the null hypothesis? = d:°H 0.55 (Type an integer or a decimal.) b. What is the rejection region? Select the correct choice below and fill in any answer boxes to complete your choice. (Round to three decimal places as needed.) O A. O C. z< O D. z>

A survey found that 55% of college presidents believe that their online education courses are as good as or superior to courses that use traditional face-to-face instruction. a. Give the null hypothesis for testing the claim made by the survey. b. Give the rejection region for a two-tailed test conducted at a = 0.01. a. What is the null hypothesis? = d:°H 0.55 (Type an integer or a decimal.) b. What is the rejection region? Select the correct choice below and fill in any answer boxes to complete your choice. (Round to three decimal places as needed.) O A. O C. z< O D. z>

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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