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
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8484936c-d131-41d3-847f-811cbd71a7e6%2F8e31c464-8dcb-491a-a895-6b706d557c86%2Fwgdwpk_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8484936c-d131-41d3-847f-811cbd71a7e6%2F8e31c464-8dcb-491a-a895-6b706d557c86%2Fvyl8tp_processed.png&w=3840&q=75)
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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