Let's go through the solution step-by-step from the given data to find the missing values for the sample proportion and confidence intervals.
1. Calculate the Total Number of Dogs:
Add the number of dogs recorded each day:
[tex]\(7 + 4 + 5 + 5 + 2 = 23\)[/tex]
2. Calculate the Sample Proportion:
Divide the total number of dogs by the total number of patients:
[tex]\[\text{Sample Proportion} = \frac{\text{Total Number of Dogs}}{\text{Total Number of Patients}} = \frac{23}{50} = 0.46\][/tex]
3. Calculate 90% Confidence Interval:
From the given data, the 90% confidence interval is [tex]\((0.34405, 0.57595)\)[/tex]
4. Calculate 95% Confidence Interval:
From the given data, the 95% confidence interval is [tex]\((0.32185, 0.59815)\)[/tex]
Summarizing these answers:
- Percentage of patients that were dogs:
[tex]\[\boxed{46\%}\][/tex]
- 90% confidence interval:
[tex]\[\boxed{(0.34405, 0.57595)}\][/tex]
- 95% confidence interval:
[tex]\[\boxed{(0.32185, 0.59815)}\][/tex]
This breakdown provides the necessary steps and values to fully answer the question based on the provided data and computations.
