Question

In a​ survey, 34​% 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

180 pet owners and discovered that 58 of them spoke to their pet on the telephone. Does the veterinarian have a right to be​ skeptical? Use the

a=0.1 level of significance.

Because np 0 (1−p0) =_______​ _______10, the sample size is ________________​5% of the population​ size, and the sample _________ the requirements for testing the hypothesis _________satisfied.

​(Round to one decimal place as​ needed.)

What are the null and alternative​ hypotheses?

H0​: ______ _______ _______versus H1​: ______ _______ ______

​(Type integers or decimals. Do not​ round.)

Find the test​ statistic, z 0.

z 0 =_________ ​(Round to two decimal places as​ needed.)

Find the​ P-value.

​P- value = _______ ​(Round to three decimal places as​ needed.)

Does the veterinarian have a right to be​ skeptical?

A.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 34​%.

B.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 34​%.

C.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 34%.

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 not 34​%.

Answer 1

Solution :

p0 = 0.34

n = 180

x = 58

a=0.1

Because np0(1−p0) = 40.39 > ( greater ) 10, the sample size is > ( greater ) 5% of the population​ size, and the sample is random the requirements for testing the hypothesis is satisfied.

H0​: Po >= 0.34 versus H1​: Po < 0.34

z0 = -0.50

​P- value = 0.309

A.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 34​%.