Complete the following steps. Identify each step with the appropriate corresponding number. 1. Write the claim and the null and the alternate hypotheses. 2. Identify a. 3. Draw a distribution to represent it and identify the critical value(s). 4. Write the inequality that identifies the rejection area(s). 5. Find the test statistic, p-value, and the correlation coefficient. 6. Make a decision about your test. 7. Write a sentence describing your decision about the claim in context with the problem. 1. Is there a relationship at a = 0.01 between muggings in a park in the city of Boston in the recent summer months and the number of police officers on duty in the park? A police cadet took a sample of the last 11 days and compiled the following data: x represents the number of police officers on duty in the park y represents the number of reported muggings that day 15 16 19 4 6 2 1 9 7 8 X Y 10 3 18 1 12 4 14 12 7 6 3 69
Complete the following steps. Identify each step with the appropriate corresponding number. 1. Write the claim and the null and the alternate hypotheses. 2. Identify a. 3. Draw a distribution to represent it and identify the critical value(s). 4. Write the inequality that identifies the rejection area(s). 5. Find the test statistic, p-value, and the correlation coefficient. 6. Make a decision about your test. 7. Write a sentence describing your decision about the claim in context with the problem. 1. Is there a relationship at a = 0.01 between muggings in a park in the city of Boston in the recent summer months and the number of police officers on duty in the park? A police cadet took a sample of the last 11 days and compiled the following data: x represents the number of police officers on duty in the park y represents the number of reported muggings that day 15 16 19 4 6 2 1 9 7 8 X Y 10 3 18 1 12 4 14 12 7 6 3 69
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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![**Instructions for Hypothesis Testing**
Complete the following steps. Identify each step with the appropriate corresponding number.
1. **Write the Claim and Hypotheses**
- Identify the null and alternative hypotheses.
2. **Identify α**
- Determine the significance level, which is given as α = 0.01.
3. **Draw a Distribution**
- Represent the data distribution and identify the critical value(s).
4. **Write the Inequality**
- Establish the inequality that represents the rejection area(s).
5. **Calculate Statistical Values**
- Find the test statistic, p-value, and the correlation coefficient.
6. **Make a Decision**
- Decide whether to reject or not reject the null hypothesis based on the statistical analysis.
7. **Contextualize the Decision**
- Write a sentence describing the decision about the claim in the context of the problem.
---
**Research Problem:**
Is there a relationship at α = 0.01 between muggings in a park in the city of Boston during recent summer months and the number of police officers on duty in the park?
A police cadet recorded a sample from the last 11 days with the following data:
- **x**: Number of police officers on duty in the park
- **y**: Number of reported muggings that day
---
**Data Table:**
\[
\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
x & 10 & 15 & 16 & 19 & 4 & 6 & 18 & 12 & 14 & 7 & 3 \\
\hline
y & 3 & 2 & 1 & 1 & 9 & 7 & 8 & 1 & 4 & 2 & 6 \\
\hline
\end{array}
\]
- **x** represents the number of police officers on duty.
- **y** represents the number of reported muggings.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91687e8e-0450-4619-842e-d38d6872920e%2Fa5d9f9b2-d93f-4995-a8ce-28033c723d8c%2F4bjahdo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Instructions for Hypothesis Testing**
Complete the following steps. Identify each step with the appropriate corresponding number.
1. **Write the Claim and Hypotheses**
- Identify the null and alternative hypotheses.
2. **Identify α**
- Determine the significance level, which is given as α = 0.01.
3. **Draw a Distribution**
- Represent the data distribution and identify the critical value(s).
4. **Write the Inequality**
- Establish the inequality that represents the rejection area(s).
5. **Calculate Statistical Values**
- Find the test statistic, p-value, and the correlation coefficient.
6. **Make a Decision**
- Decide whether to reject or not reject the null hypothesis based on the statistical analysis.
7. **Contextualize the Decision**
- Write a sentence describing the decision about the claim in the context of the problem.
---
**Research Problem:**
Is there a relationship at α = 0.01 between muggings in a park in the city of Boston during recent summer months and the number of police officers on duty in the park?
A police cadet recorded a sample from the last 11 days with the following data:
- **x**: Number of police officers on duty in the park
- **y**: Number of reported muggings that day
---
**Data Table:**
\[
\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
x & 10 & 15 & 16 & 19 & 4 & 6 & 18 & 12 & 14 & 7 & 3 \\
\hline
y & 3 & 2 & 1 & 1 & 9 & 7 & 8 & 1 & 4 & 2 & 6 \\
\hline
\end{array}
\]
- **x** represents the number of police officers on duty.
- **y** represents the number of reported muggings.
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