In asurvey, 45

45% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be toohigh, so she

she randomly selected 230

230 pet owners and discovered that 95

95 of them spoke to their pet on the telephone. Does the veterinarian have a right to beskeptical? Use the alpha

equals

=0.05

0.05 level of significance.

Because np 0 left parenthesis 1 minus p 0 right parenthesis

np01p0equals

=

nothing

greater than

>

less than

<

not equals

equals

=

10, the sample size is

less than

greater than

5% of the populationsize, and the sample

cannot be reasonably assumed to be random,

is given to be random,

can be reasonably assumed to be random,

is given to not be random,

the requirements for testing the hypothesis

are not

are

satisfied.

(Round to one decimal place asneeded.)

What are the null and alternativehypotheses?

Upper H 0

H0:

sigma

mu

p

p

equals

=

less than

<

not equals

greater than

>

nothing

versus Upper H 1

H1:

sigma

p

p

mu

not equals

greater than

>

equals

=

less than

<

nothing

(Type integers or decimals. Do notround.)

Find the teststatistic, z 0

z0.

z 0

z0equals

=

nothing

(Round to two decimal places asneeded.)

Find theP-value.

P-valueequals=nothing

(Round to three decimal places asneeded.)

Does the veterinarian have a right to beskeptical?

A.

The veterinarian does not have doesnothave a right to be skeptical. There is not isnot sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is less than 45

45%.

B.

The veterinarian does not have doesnothave a right to be skeptical. There is not isnot sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is 45

45%.

C.

The veterinarian has

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 isnot 45

45%.

D.

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 45

45%.