Question

In a​ survey, 35​% 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 170 pet owners and discovered that 56 of them spoke to their pet on the telephone. Does the veterinarian have a right to be​ skeptical? Use the alphaequals0.01 level of significance.

Because np0 left ( 1 minus p 0 right ) = ____, ____ ​10, the sample size is __ less than or greater than __ ​5% of the population​ size, and the sample

___can be reasonably assumed to be random, or is given to be random, cannot be reasonably assumed to be random, is given to not be random,___ the requirements for testing the hypothesis ___are or are not ___ satisfied.

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

What are the null and alternative​ hypotheses?

Upper H 0​:

Upper H 1​:

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

Determine the test​ statistic, z 0.

z0=

​(Round to two decimal places as​ needed.)

Determine the critical​ value(s). Select the correct choice below and fill in the answer box to complete your choice.

​(Round to two decimal places as​ needed.)

A. plus or minus z Subscript alpha divided by 2equals plus or minus

B.. z Subscript alpha equals

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 31​%.

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 less than 31​%.

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 not 31​%.

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 31​%.

Answer 1