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As part of a study on how people of different ages use mobile technology, each person in a sample of 258 cell phone users age 20 to 39 was asked if they use their cell phones to stay connected while they are in bed. The same question was also asked of each person in a sample of 129 cell phone users age 40 to 49. In the 20 to 39 years age group, 168 people indicated that they do stay connected while they are in bed, whilst in the 40 to 49 years old age group, 61 people stay connected while in bed.Let: ??̂ 1 = Proportion of cell phone users age 20 to 39 who stay connected while they are in bed ??̂ 2 = Proportion of cell phone users age 40 to 49 who stay connected while they are in bed ??̂= Pooled proportion of cell phone users who stay connected while they are in bed

As part of a study on how people of different ages use mobile technology, each person in a sample of 258 cell phone users age 20 to 39 was asked if they use their cell phones to stay connected while they are in bed. The same question was also asked of each person in a sample of 129 cell phone users age 40 to 49. In the 20 to 39 years age group, 168 people indicated that they do stay connected while they are in bed, whilst in the 40 to 49 years old age group, 61 people stay connected while in bed.Let: ??̂ 1 = Proportion of cell phone users age 20 to 39 who stay connected while they are in bed ??̂ 2 = Proportion of cell phone users age 40 to 49 who stay connected while they are in bed ??̂= Pooled proportion of cell phone users who stay connected while they are in bed

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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 As part of a study on how people of different ages use mobile technology, each person in a

sample of 258 cell phone users age 20 to 39 was asked if they use their cell phones to stay

connected while they are in bed. The same question was also asked of each person in a sample

of 129 cell phone users age 40 to 49. In the 20 to 39 years age group, 168 people indicated that

they do stay connected while they are in bed, whilst in the 40 to 49 years old age group, 61

people stay connected while in bed.Let:

??̂

1 = Proportion of cell phone users age 20 to 39 who stay connected while they are in bed

??̂

2 = Proportion of cell phone users age 40 to 49 who stay connected while they are in bed

??̂= Pooled proportion of cell phone users who stay connected while they are in bed

d) For the hypotheses Ho: P₁ = P2 H₁: P₁ P2 Give the i. ii. p-value standard error of (P1-P₂) under Ho: P₁ = P₂, i.e. when assuming the two population proportions are the same. rejection rule at a 0.10 level of significance
Transcribed Image Text:d) For the hypotheses Ho: P₁ = P2 H₁: P₁ P2 Give the i. ii. p-value standard error of (P1-P₂) under Ho: P₁ = P₂, i.e. when assuming the two population proportions are the same. rejection rule at a 0.10 level of significance
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