Find a point estimate for p. Construct a 95% confidence interval for p: (

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
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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