**Chi-Square Test Example****Objective**: Calculate the χ² for the following data. Do you accept or reject the null hypothesis?| Observed (fo) | Expected (fe) ||---------------|---------------|| 44 | || 250 | || 96 | || 110 | || 500 | |In this example, you are given a list of observed frequencies. You need to perform the following steps:1. **Compute Expected Frequencies (fe)**: If they are not provided, you must determine what they would be under the null hypothesis.2. **Calculate Chi-Square (χ²)**: Use the formula: \[ χ² = \sum \frac{{(fo - fe)^2}}{fe} \] where \( fo \) is the observed frequency and \( fe \) is the expected frequency for each category.3. **Decision Rule**: Determine the critical value of χ² from the chi-square distribution table corresponding to the desired confidence level and degrees of freedom.4. **Conclusion**: Compare your calculated χ² with the critical value to decide whether to accept or reject the null hypothesis. If χ² is greater than the critical value, reject the null hypothesis; otherwise, do not reject it.This process allows us to determine whether the observed frequencies differ significantly from the expected frequencies.

The provided information is as follows:The observed frequencies are given as 4425096110500

Answered: 3. Calculate the x2 for the following…

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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3. Calculate the x2 for the following data. Do you accept or reject the null hypothesis. fo 110 500 441 250 96 fe