klysse123
28.04.2021 •
Mathematics
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.
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Ответ:
Since AB and BC forms a right angle, this means that AB and BC are perpendicular.
For perpendicular lines, m2 = -1/m1; where m1 and m2 are the gradient of the two lines.
i.e. m2 = -1/(5/7) = -7/5
Therefore, the equation of BC is given by