Answered: n 2002, a reproductive clinic reported…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

2002,

a reproductive clinic reported

live births to

161

women under the age of 38, but only

live births for

clients aged 38 and older. Is there evidence of a difference in the effectiveness of the clinic's methods for older women? Complete parts a through c. Use

α=0.05.

a) Was this an experiment? Explain.

This

was not

an experiment because each individual in the study was placed in a group based on

observation.

b) Test an appropriate hypothesis and state your conclusion in context. Write the hypotheses.

H0:

The proportion of live births for women under the age of 38 is

the same as

the proportion for women aged 38 and older; that is,

p1−p2

equals=

where

is the population proportion of live births for women under the age of 38, and

is the population proportion of live births for women ages 38 and older.

HA:

The proportion of live births for women under the age of 38 is

different from

the proportion for women aged 38 and older; that is,

p1−p2

not equals≠

where

is the population proportion of live births for women under the age of 38, and

is the population proportion of live births for women ages 38 and older.

The test statistic is

z=2.982.98.

(Round to two decimal places as needed.)

The P-value is

0.0030.003.

(Round to three decimal places as needed.)

Write your conclusion.

Reject

H0.

The data

provide

sufficient evidence to conclude that the proportion of live births for women under age 38 is

different from

the proportion for women aged 38 and older.

c) If you concluded there was a difference, estimate that difference with a confidence interval and interpret your interval in context.

There is

95%

confidence that the proportion of successful live births at the clinic is between

0.0750.075

and

0.2750.275

greater for mothers under the age of 38.

(Round to three decimal places as needed.)

The conclusion was that there was no difference.

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