Question

A simple random sample of size

nequals=200200

drivers were asked if they drive a car manufactured in a certain country. Of the

200200

drivers​ surveyed,

103103

responded that they did. Determine if more than half of all drivers drive a car made in this country at the

alpha equals 0.05α=0.05

level of significance. Complete parts ​(a) through

​(d).

​(a) Determine the null and alternative hypotheses.

Upper H 0H0​:

▼

pp

muμ

sigmaσ

▼

equals=

less than<

greater than>

not equals≠

0.50.5

Upper H 1H1​:

▼

sigmaσ

pp

muμ

▼

less than<

not equals≠

greater than>

equals=

0.50.5

​(b) Calculate the​ P-value.

​P-valueequals=nothing

​(Round to three decimal places as​ needed.)

​(c) State the conclusion for the test.

Choose the correct answer below.

A.

RejectReject

Upper H 0H0

because the​ P-value is

less thanless than

the

alphaαequals=0.050.05

level of significance.

B.

RejectReject

Upper H 0H0

because the​ P-value is

greater thangreater than

the

alphaαequals=0.050.05

level of significance.

C.

Do not rejectDo not reject

Upper H 0H0

because the​ P-value is

less thanless than

the

alphaαequals=0.050.05

level of significance.

D.

Do not rejectDo not reject

Upper H 0H0

because the​ P-value is

greater thangreater than

the

alphaαequals=0.050.05

level of significance.

​(d) State the conclusion in context of the problem.

There

▼

is not

is

sufficient evidence at the

alpha equals 0.05α=0.05

level of significance to conclude that more than half of all drivers drive a car made in this country.

Answer 1