Question

1.)If n=400 and X=100​, construct a 95​% confidence interval estimate of the population proportion.

≤π≤ (ROUND 4 DECIMAL PLACES)

2.) 19A telecommunications company wants to estimate the proportion of households that would purchase an additional telephone line if it were made available at a substantially reduced installation cost. Data are collected from a random sample of 500 households. The results indicate that 120 of the households would purchase the additional telephone line at a reduced installation cost.

a. Construct a 99​% confidence interval estimate for the population proportion of households that would purchase the additional telephone line.

≤π≤ (ROUND 4 DECIMAL PLACES)

3.)

In a survey of 1,200 ​organizations, 690 responded that​ "the need for collaboration among an increasing number of​ locations" is a business driver that led them to implement cloud solutions. Construct a​ 95% confidence interval estimate for the population proportion of organizations that indicated​ "the need for collaboration among an increasing number of​ locations" is a business driver that led them to implement cloud solutions.

A​ 95% confidence interval estimate for the population proportion is

≤π≤ (ROUND 4 DECIMAL PLACES)

Answer 1

1 ) Given : n=400 , X=100

The sample proportion , p=X/n=100/400=0.25

The 95​% confidence interval estimate of the population proportion is ,

2 ) Given : n=500 , X=120

The sample proportion , p=X/n=120/500=0.24

The 99​% confidence interval estimate of the population proportion of households that would purchase the additional telephone line is ,

3 ) Given : n=690 , X=1200

The sample proportion , p=X/n=690/1200=0.5750

The 95​% confidence interval estimate of the population proportion is ,