Find p and q. Round your answers to three decimal places. n=69 and X=45
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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![### Estimating Proportions (Educational Tool)
**Objective:**
Find the estimated values of \(\hat{p}\) and \(\hat{q}\). Round your answers to three decimal places.
**Provided Information:**
- Sample size (\(n\)) = 69
- Number of successes (\(X\)) = 45
**Formulae:**
- Proportion of successes (\(\hat{p}\)) = \(\frac{X}{n}\)
- Proportion of failures (\(\hat{q}\)) = \(1 - \hat{p}\)
**Steps:**
1. Calculate \(\hat{p}\):
\[ \hat{p} = \frac{X}{n} = \frac{45}{69} \]
Round the answer to three decimal places.
2. Calculate \(\hat{q}\):
\[ \hat{q} = 1 - \hat{p} \]
Round the answer to three decimal places.
**Input Fields:**
- \(\hat{p}\) = [ Input Field ]
- \(\hat{q}\) = [ Input Field ]
**Action Buttons:**
- \( \times \) (Clear the answers)
- ↺ (Reset to default values)
**Instructions:**
Enter the computed values for \(\hat{p}\) and \(\hat{q}\) into their respective input fields, ensuring they are rounded to three decimal places. Use the action buttons to clear your answers or reset all fields if necessary.
By accurately calculating the proportions, learners will gain a clear understanding of estimating proportions in a given sample.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F176f32ac-c9e1-4f00-8dba-82b002b2f053%2Fb49aceba-9740-447a-8aab-267fe388cd1b%2Fjovlhb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Estimating Proportions (Educational Tool)
**Objective:**
Find the estimated values of \(\hat{p}\) and \(\hat{q}\). Round your answers to three decimal places.
**Provided Information:**
- Sample size (\(n\)) = 69
- Number of successes (\(X\)) = 45
**Formulae:**
- Proportion of successes (\(\hat{p}\)) = \(\frac{X}{n}\)
- Proportion of failures (\(\hat{q}\)) = \(1 - \hat{p}\)
**Steps:**
1. Calculate \(\hat{p}\):
\[ \hat{p} = \frac{X}{n} = \frac{45}{69} \]
Round the answer to three decimal places.
2. Calculate \(\hat{q}\):
\[ \hat{q} = 1 - \hat{p} \]
Round the answer to three decimal places.
**Input Fields:**
- \(\hat{p}\) = [ Input Field ]
- \(\hat{q}\) = [ Input Field ]
**Action Buttons:**
- \( \times \) (Clear the answers)
- ↺ (Reset to default values)
**Instructions:**
Enter the computed values for \(\hat{p}\) and \(\hat{q}\) into their respective input fields, ensuring they are rounded to three decimal places. Use the action buttons to clear your answers or reset all fields if necessary.
By accurately calculating the proportions, learners will gain a clear understanding of estimating proportions in a given sample.
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