MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![### Clinical Trial Analysis: Estimating Proportion for Side Effects
In a clinical trial, 50 patients who received a new medication are randomly selected. It was found that 10 of them suffered serious side effects from this new medication. Let \( p \) denote the population proportion of patients who suffered serious side effects from this new medication.
#### Find a Point Estimate for \( p \):
\[ \boxed{\text{}} \]
#### Construct a 95% Confidence Interval for \( p \):
\[ ( \boxed{\text{}} , \boxed{\text{}} ) \]
(Write down all the digits you have from the calculator)
### Explanation:
This exercise involves determining the point estimate for the proportion \( p \) and constructing a 95% confidence interval for \( p \). The point estimate provides a single best guess of the population proportion \( p \), while the confidence interval offers a range of values within which \( p \) is likely to fall, with a specified level of confidence (in this case, 95%).
When calculating these intervals, make sure to include all significant figures as provided by the calculator to ensure precise statistical reporting.](https://content.bartleby.com/qna-images/question/92c948e1-a5a6-42ca-a6f6-c7c8dd85ca21/ecaa0f64-14ac-4b81-8038-b3382bca487e/lspicdb_processed.png)
Transcribed Image Text:### Clinical Trial Analysis: Estimating Proportion for Side Effects
In a clinical trial, 50 patients who received a new medication are randomly selected. It was found that 10 of them suffered serious side effects from this new medication. Let \( p \) denote the population proportion of patients who suffered serious side effects from this new medication.
#### Find a Point Estimate for \( p \):
\[ \boxed{\text{}} \]
#### Construct a 95% Confidence Interval for \( p \):
\[ ( \boxed{\text{}} , \boxed{\text{}} ) \]
(Write down all the digits you have from the calculator)
### Explanation:
This exercise involves determining the point estimate for the proportion \( p \) and constructing a 95% confidence interval for \( p \). The point estimate provides a single best guess of the population proportion \( p \), while the confidence interval offers a range of values within which \( p \) is likely to fall, with a specified level of confidence (in this case, 95%).
When calculating these intervals, make sure to include all significant figures as provided by the calculator to ensure precise statistical reporting.
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