Calculate a confidence interval based on the sample data and interpret this confidence interval. Claim: Women are more likely to wearSPF reguarly than men.300PopulationSurveyed 150 men and 150 women47 men Said they wear Sun Screenreguarly whereas 103 men Said they don'twear Sunscrcen reguarly117 women Said they wearSun Sureen saidreguarly whereas 33 Womenthey don't wear Sunscreen reguarlyHoiPi-Pz=0HiiP2-Pz

Name: Calculate a confidence interval based on the sample data and interpret
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Calculate a confidence interval based on the sample data and interpret this confidence interval. Claim: Women are more likely to wearSPF reguarly than men.300PopulationSurveyed 150 men and 150 women47 men Said they wear Sun Screenreguarly whereas 103

Answered: Calculate a confidence interval based…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

Calculate a confidence interval based on the sample data and interpret this confidence interval.

Claim: Women are more likely to wear
SPF reguarly than men.
300
Population
Surveyed 150 men and 150 women
47 men Said they wear Sun Screen
reguarly whereas 103 men Said they don't
wear Sunscrcen reguarly
117 women Said they wear
Sun Sureen said
reguarly whereas 33 Women
they don't wear Sunscreen reguarly
HoiPi-Pz=0
HiiP2-Pz<O(claim)
Significance level =
0.05 %
use the 2
distribution
State the
P-value
z=(P;- Pz) - (P,-P2)
P色+ pe

Expert Solution

Introduction

Confidence interval for two sample proportion is calculated using the sample proportion and sample size as

$({\hat{p}}_{1} - {\hat{p}}_{2}) \pm z_{α} \times \sqrt{\frac{{\hat{p}}_{1} (1 - {\hat{p}}_{1})}{n_{1}} + \frac{{\hat{p}}_{2} (1 - {\hat{p}}_{2})}{n_{2}}}$

where $\hat{p} = \frac{x}{n}$

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions