A random sample of 180 men indicated that 50 were smokers, and a random sample of 150 women surveyed indicated that 39 smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers.
A random sample of 180 men indicated that 50 were smokers, and a random sample of 150 women surveyed indicated that 39 smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A random sample of 180 men indicated that 50 were smokers, and a random sample of 150 women surveyed indicated that 39 smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers.
![The image presents a statistical exercise focused on calculating proportions and their complements for a given dataset involving men and women. Here's a structured transcription suited for an educational website:
---
**c) Find the value of each statistic.**
**Express as a decimal rounded to four decimal places**
- **Proportion One (Men):**
- Select an answer from a dropdown menu
- An input box follows to write the calculated proportion
*(Calculate using a TI-84 calculator)*
- **Proportion Two (Women):**
- Select an answer from a dropdown menu
- An input box follows to write the calculated proportion
*(Calculate using a TI-84 calculator)*
\[ \hat{q}_1 = 1 - \hat{p}_1 = 1 - \text{(Men's Proportion)} = \]
- Input box for calculation related to men
\[ \hat{q}_2 = 1 - \hat{p}_2 = 1 - \text{(Women's Proportion)} = \]
- Input box for calculation related to women
- **Sample Size One (Men):**
- Select an answer from a dropdown menu
- An input box follows to write the sample size
- **Sample Size Two (Women):**
- Select an answer from a dropdown menu
- An input box follows to write the sample size
**Round answer(s) to two decimal places**
- \( z (\alpha/2) \):
- Select an answer from a dropdown menu
- Multiple input boxes follow, suggesting multiple calculations or values needed
- Second line with similar setup for another z-score calculation related to \( \alpha/2 \).
---
This page utilizes dropdowns for selecting predetermined statistical values and input boxes for entering calculated results, designed for instructional purposes using a TI-84 calculator.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa466c24-bbae-451a-a078-10dcd226e22a%2Feb679a2e-572a-4771-95a5-1106d8ebdaf1%2F0qascj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image presents a statistical exercise focused on calculating proportions and their complements for a given dataset involving men and women. Here's a structured transcription suited for an educational website:
---
**c) Find the value of each statistic.**
**Express as a decimal rounded to four decimal places**
- **Proportion One (Men):**
- Select an answer from a dropdown menu
- An input box follows to write the calculated proportion
*(Calculate using a TI-84 calculator)*
- **Proportion Two (Women):**
- Select an answer from a dropdown menu
- An input box follows to write the calculated proportion
*(Calculate using a TI-84 calculator)*
\[ \hat{q}_1 = 1 - \hat{p}_1 = 1 - \text{(Men's Proportion)} = \]
- Input box for calculation related to men
\[ \hat{q}_2 = 1 - \hat{p}_2 = 1 - \text{(Women's Proportion)} = \]
- Input box for calculation related to women
- **Sample Size One (Men):**
- Select an answer from a dropdown menu
- An input box follows to write the sample size
- **Sample Size Two (Women):**
- Select an answer from a dropdown menu
- An input box follows to write the sample size
**Round answer(s) to two decimal places**
- \( z (\alpha/2) \):
- Select an answer from a dropdown menu
- Multiple input boxes follow, suggesting multiple calculations or values needed
- Second line with similar setup for another z-score calculation related to \( \alpha/2 \).
---
This page utilizes dropdowns for selecting predetermined statistical values and input boxes for entering calculated results, designed for instructional purposes using a TI-84 calculator.
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