Answered: Previously, 6% of mothers smoked more…

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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Question

Previously,

of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than

today. She randomly selects

130

pregnant mothers and finds that

of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the

α=0.05

level of significance.

What are the null and alternative hypotheses?

H0:

▼

sigmaσ

muμ

▼

greater than>

less than<

not equals≠

equals=

nothing

versus

H1:

▼

sigmaσ

muμ

▼

less than<

not equals≠

equals=

greater than>

nothing

(Type integers or decimals. Do not round.)

Because

np01−p0=nothing

▼

greater than>

not equals≠

equals=

less than<

10,

the normal model

▼

may

may not

be used to approximate the P-value.

(Round to one decimal place as needed.)

Find the P-value.

P-value=nothing

(Round to three decimal places as needed.)

Is there sufficient evidence to support the obstetrician's statement?

Yes,

reject

the null hypothesis because the P-value is

less

than

α.

There

sufficient evidence to conclude that the percentage of mothers who smoke 21 or more cigarettes during pregnancy is less than

6%.

Yes,

do not reject

the null hypothesis because the P-value is

greater

than

α.

There

sufficient evidence to conclude that the percentage of mothers who smoke 21 or more cigarettes during pregnancy is less than

6%.

No,

reject

the null hypothesis because the P-value is

less

than

α.

There

is not

sufficient evidence to conclude that the percentage of mothers who smoke 21 or more cigarettes during pregnancy is less than

6%.

No,

do not reject

the null hypothesis because the P-value is

greater

than

α.

There

is not

sufficient evidence to conclude that the percentage of mothers who smoke 21 or more cigarettes during pregnancy is less than

6%.

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