The claim to be tested is that, on average, the distribution of grades in a statistics class follows the pattern where 20% of students receive an A, 25% receive a B, 35% receive a C, 10% receive a D, and the remaining 10% receive an F. A random sample of grades from the teacher's students over the years is given, and a chi-square test of significance is used to test this claim at the 10% significance level. Below are the observed and expected frequencies:| Categories | Observed Frequency | Expected Frequency ||------------|---------------------|---------------------|| A | 53 | 92.2 || B | 36 | 52.75 || C | 80 | 73.85 || D | 15 | 21.1 || F | 27 | 21.1 |**Test Calculation Details:**- **Test Statistic (Chi-Square Value):** 12.008- **Degrees of Freedom:** 4 - **P-value:** 0.01729**Decision Rule:** At the 10% significance level (α = 0.10), if the p-value is less than the significance level, reject the null hypothesis.**Conclusion:** - Since the p-value (0.01729) is less than the significance level (0.10), we reject the null hypothesis.- Therefore, the evidence suggests that the distribution of grades in this sample is significantly different from the teacher's claimed distribution. **Notes:** - The red "x" next to "Expected Frequency" for category A indicates a large deviation from the expected value.- Green checkmarks indicate that categories B, C, D, and F closely align with their expected frequencies. This test helps to understand whether the observed distribution of grades significantly deviates from the expected distribution under the teacher's claimed probabilities.

The observed frequency data set of the grades of the student is given as;CategoriesObserved…

Answered: A statistics teacher claims that, on…

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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