A simple random sample of size nequals 200
drivers were asked if they drive a car manufactured in a certain country. Of the 200

drivers​ surveyed, 114

responded that they did. Determine if more than half of all drivers drive a car made in this country at the alpha equals 0.05

level of significance. Complete parts ​(a) through ​(d).
​(a) Determine the null and alternative hypotheses.
Upper H 0
​:
▼

▼

0.5

Upper H 1
​:
▼

▼

0.5
​(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.
Do not reject

Upper H 0

because the​ P-value is less than

the alpha
equals0.05

level of significance.
B.
Reject

Upper H 0

because the​ P-value is less than

the alpha
equals0.05

level of significance.
C.
Reject

Upper H 0

because the​ P-value is greater than

the alpha
equals0.05

level of significance.
D.
Do not reject

Upper H 0

because the​ P-value is greater than

the alpha
equals0.05

level of significance.
​(d) State the conclusion in context of the problem.
There
▼

is
is not

sufficient evidence at the alpha equals 0.05

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