Question
A simple random sample of size nequals=200200 drivers were asked if they drive a car manufactured...
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.
Homework Answers
Answer #1
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