In a​ survey, 37​% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too​ high, so he randomly selected 210 pet owners and discovered that 74 of them spoke to their pet on the telephone. Does the veterinarian have a right to be​ skeptical? Use the α=0.1 level of significance. Because np01−p0=nothing ▼   not equals≠ less than< equals= greater than> ​10, the sample size is ▼   greater than less than ​5% of the population​ size, and the sample ▼   is given to be random, is given to not be random, can be reasonably assumed to be random, cannot be reasonably assumed to be random, the requirements for testing the hypothesis ▼   are are not satisfied. ​(Round to one decimal place as​ needed.) What are the null and alternative​ hypotheses?   H0​: pp sigmaσ muμ pp equals= equals= greater than> less than< not equals≠ 0.370.37 versus H1​: pp pp muμ sigmaσ less than< less than< not equals≠ equals= greater than> 0.370.37 ​(Type integers or decimals. Do not​ round.) Find the test​ statistic, z0.   z0=nothing ​(Round to two decimal places as​ needed.) Find the​ P-value.   ​P-value=nothing ​(Round to three decimal places as​ needed.) Does the veterinarian have a right to be​ skeptical?     A. The veterinarian has a right to be skeptical. There is sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is less than 37​%.   B. The veterinarian has a right to be skeptical. There is sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is not 37​%.   C. The veterinarian does not have a right to be skeptical. There is not sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is less than 37​%.   D. The veterinarian does not have a right to be skeptical. There is not sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is 37​%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Question
In a​ survey,
37​%
of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too​ high, so
he
randomly selected
210
pet owners and discovered that
74
of them spoke to their pet on the telephone. Does the veterinarian have a right to be​ skeptical? Use the
α=0.1
level of significance.
Because
np01−p0=nothing
 
not equals≠
less than<
equals=
greater than>
​10,
the sample size is
 
greater than
less than
​5% of the population​ size, and the sample
 
is given to be random,
is given to not be random,
can be reasonably assumed to be random,
cannot be reasonably assumed to be random,
the requirements for testing the hypothesis
 
are
are not
satisfied.
​(Round to one decimal place as​ needed.)
What are the null and alternative​ hypotheses?
 
H0​:
pp
sigmaσ
muμ
pp
equals=
equals=
greater than>
less than<
not equals≠
0.370.37
versus
H1​:
pp
pp
muμ
sigmaσ
less than<
less than<
not equals≠
equals=
greater than>
0.370.37
​(Type integers or decimals. Do not​ round.)
Find the test​ statistic,
z0.
 
z0=nothing
​(Round to two decimal places as​ needed.)
Find the​ P-value.
 
​P-value=nothing
​(Round to three decimal places as​ needed.)
Does the veterinarian have a right to be​ skeptical?
 
 
A.
The veterinarian
has
a right to be skeptical. There
is
sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is less than
37​%.
 
B.
The veterinarian
has
a right to be skeptical. There
is
sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone
is not
37​%.
 
C.
The veterinarian
does not have
a right to be skeptical. There
is not
sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is less than
37​%.
 
D.
The veterinarian
does not have
a right to be skeptical. There
is not
sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is
37​%
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