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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
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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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. \[ \begin{array}{|c|c|c|c|} \hline \text{Category} & \text{Observed Frequency} & \text{Expected Frequency} & \text{Residual} \\ \hline A & 24 & & \\ B & 33 & & \\ C & 38 & & \\ D & 36 & & \\ \hline \end{array} \] \[ H_0: p_A = 0.1; \quad p_B = 0.2; \quad p_C = 0.4; \quad p_D = 0.3 \] \[ H_1: \text{at least one is different} \] Original claim = Select an answer
Transcribed Image Text: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. \[ \begin{array}{|c|c|c|c|} \hline \text{Category} & \text{Observed Frequency} & \text{Expected Frequency} & \text{Residual} \\ \hline A & 24 & & \\ B & 33 & & \\ C & 38 & & \\ D & 36 & & \\ \hline \end{array} \] \[ H_0: p_A = 0.1; \quad p_B = 0.2; \quad p_C = 0.4; \quad p_D = 0.3 \] \[ H_1: \text{at least one is different} \] 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.
Transcribed Image Text: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.
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