In asurvey, 42% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be toohigh, so he randomly selected 190 pet owners and discovered that 78 of them spoke to their pet on the telephone. Does the veterinarian have a right to beskeptical? Use the =0.1 level of significance.

Because np01p0=

nothing

equals

=

not equals

greater than

>

less than

<

10, the sample size is

less than

greater than

5% of the populationsize, and the sample

cannot be reasonably assumed to be random,

can be reasonably assumed to be random,

is given to not be random,

is given to be random,

the requirements for testing the hypothesis

are not

are

satisfied.

(Round to one decimal place asneeded.)

What are the null and alternativehypotheses?

H0:

sigma

mu

p

p

not equals

equals

=

greater than

>

less than

<

nothing

versus H1:

p

p

mu

sigma

not equals

less than

<

equals

=

greater than

>

nothing

(Type integers or decimals. Do notround.)

Find the teststatistic, z0.

z0=

nothing

(Round to two decimal places asneeded.)

Find theP-value.

P-value=

nothing

(Round to three decimal places asneeded.)

Does the veterinarian have a right to beskeptical?

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 42%.

B.

The veterinarian doesnothave a right to be skeptical. There isnot sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is less than 42%.

C.

The veterinarian doesnothave a right to be skeptical. There isnot sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is 42%.

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 isnot 42%.