1. In a survey, 33%of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selected 160 pet owners and discovered that 48 of them spoke to their pet on the telephone. Does the veterinarian have a right to beskeptical? Use the =0.1 level of significance.

Find the test statistic, z0.

z0=_______

(Round to two decimal places as needed.)

Find the P-value.

P-value=________

(Round to three decimal places as needed.)

2. Conduct a test at the =0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling.

Test whether p1>p2. The sample data are x1=118, n1=252, x2=144, and n2=308.

(a) Choose the correct null and alternative hypotheses below.

A.

H0:p1=0

versus H1:p10

B.

H0:p1=p2

versus H1:p1

C.

H0:p1=p2

versus H1:p1>p2

D.

H0:p1=p2

versus H1:p1p2

(b) Determine the test statistic.

z0=______

(Round to two decimal places as needed.)

(c) Determine the P-value.

The P-value is______

(Round to three decimal places as needed.)

3. Determine the t-value in each of the cases.

(a) Find the t-value such that the area in the right tail is 0.10 with 24 degrees of freedom.

_________

(Round to three decimal places as needed.)

(b) Find the t-value such that the area in the right tail is 0.02 with 10 degrees of freedom.

_________

(Round to three decimal places as needed.)

(c) Find the t-value such that the area left of the t-value is 0.20 with 10 degrees of freedom. [Hint: Use symmetry.]

_____________

(Round to three decimal places as needed.)

(d) Find the critical t-value that corresponds to 70% confidence. Assume 25 degrees of freedom.

_____________

(Round to three decimal places as needed.)