A teacher claims that, on average, 10% of students in his class get an A, 20% get a B, 40% get a C, 30% get a D and the rest get an F. The grades of a random sample of his students over the years are recorded. Test the claim at 0.05 significance.Test for the claim that the following categories occur with the following frequencies:\[ p_A = 0.1; \quad p_B = 0.2; \quad p_C = 0.4; \quad p_D = 0.3 \]Test at the 0.05 significance level. Complete the table. Round all answers to three decimal places.\[\begin{array}{|c|c|c|c|}\hline\text{Category} & \text{Observed Frequency} & \text{Expected Frequency} & \text{Residual} \\\hlineA & 24 & & \\B & 33 & & \\C & 38 & & \\D & 36 & & \\\hline\end{array}\]\[ H_0: p_A = 0.1; \quad p_B = 0.2; \quad p_C = 0.4; \quad p_D = 0.3 \]\[ H_1: \text{at least one is different} \]Original claim = Select an answer Enter the critical value, along with the significance level and degrees of freedom \( \chi^2_{(\alpha, df)} \) below the graph. (Graph is for illustration only. No need to shade.)**Graph:**- Title: \( \chi^2 \)-Distribution- X-axis: Ranges from 1 to 139, labeled as \( X \).- Y-axis: Probability value reaching up to about 0.12.- The graph shows a right-skewed distribution, peaking between 1 and 20, then gradually decreasing.**Inputs:**1. **\( \chi^2 \)** \( (\alpha, df) = \) [Box for input] (Rounded to three decimal places.)2. **Test Statistic =** [Box for input] (Rounded to three decimal places.)3. **p-value =** [Box for input] (Rounded to four decimal places.)4. **Decision:** [Dropdown to select an answer]5. **Conclusion:** [Dropdown to select an answer] the claim that all 4 categories are equally likely to be selected.

The expected frequencies are, Category Observed Frequency Expected frequency Residual (Observed…

Test Statistic - (Round to three decimal places.) p-value- (Round to four decimal places.) Decision: Select an answer Conclusion: Select an answer |the claim that all 4 categories are equally likely to be selected.

Test Statistic - (Round to three decimal places.) p-value- (Round to four decimal places.) Decision: Select an answer Conclusion: Select an answer |the claim that all 4 categories are equally likely to be selected.

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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