Answered: Data were collected from a study that…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

Data were collected from a study that followed 1,490 Australian married couples for three years to learn what factors may lead to marital separation or divorce. During the study period, 42 of 971couples in which neither partner smoked separated. Among 519 couples in which at least one partner smoked, 70 couples separated.

(a)

For the population of Australian married couples in which neither partner smokes, find a 90% confidence interval for the proportion of couples that would separate during the three-year time span of the study. (Round your answers to three decimal places.)

___to___

(b)

For the population of Australian married couples in which at least one partner smokes, find a 90% confidence interval for the proportion of couples that would separate during the three-year time span of the study. (Round your answers to three decimal places.)

__to___

(c)

Find a 99% confidence interval for the difference in proportions of couples that would separate for the populations in which neither partner smokes and in which at least one partner smokes. (Use

p_{at least one} − p_neither.

Round your answers to three decimal places.)

___to___

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