Giving a test to a group of students, the grades and gender are summarized below A В C Total Male 18 4 28 Female 8 14 17 39 Total 26 20 21 67 Let p represent the population proportion of all female students who received a grade test. Use a 95% confidence interval to estimate p to four decimal places if possible.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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![### Student Test Results by Gender and Grade
This table summarizes the distribution of grades among male and female students who took a test.
| | A | B | C | Total |
|--------|----|----|----|-------|
| Male | 18 | 6 | 4 | 28 |
| Female | 8 | 14 | 17 | 39 |
| Total | 26 | 20 | 21 | 67 |
**Explanation:**
- **Columns:**
- The columns represent grades A, B, and C achieved by the students, along with a total column.
- **Rows:**
- The first row shows the distribution of grades among male students.
- The second row represents the grades received by female students.
- The third row provides the total number of students who received each grade.
**Problem Statement:**
Let \( p \) represent the population proportion of all female students who received a grade of B on this test. You are instructed to use a 95% confidence interval to estimate \( p \) to four decimal places if possible.
\[ \text{< } p \text{ <} \]
**Objective:**
Calculate the 95% confidence interval for the proportion of female students who received a B.
This exercise could be used to teach students about proportions, statistical confidence intervals, and data analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16357af1-d2ed-4099-98d0-470a06d352b4%2F94eddaff-d237-40ab-9501-683e10f6a76e%2Fmuwmfp_processed.png&w=3840&q=75)
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