statistics questions

1.In a​ survey, 32​% 

of the respondents stated that they talk to their pets on the answering machine or telephone. A veterinarian believed this result to be too​ high, so 

hehe 

randomly selected 

250

pet owners and discovered that 

70 

of them spoke to their pet on the answering machine or telephone. Does the veterinarian have a right to be​skeptical? Use the 

alphaαequals=0.05 

level of significance.

2.Test the hypothesis using the classical approach and the​ P-value approach.

Upper H 0 : p equals 0.45 versus Upper H 1 : p less than 0.45H0: p=0.45 versus H1: p<0.45

n equals 150 comma x equals 62 comma alpha equals 0.05

Complete parts ​(a) through ​(c) below.

​(a) Determine the critical​ value(s) for a​ right-tailed test of a population mean at the alphaαequals=0.05
level of significance with 20
degrees of freedom.

​(b) Determine the critical​ value(s) for a​ left-tailed test of a population mean at the alphaαequals=0.05
level  of significance based on a sample size of nequals=15

​(c) Determine the critical​ value(s) for a​ two-tailed test of a population mean at the alphaαequals=0.01
level of significance based on a sample size of nequals=18

To test Upper H 0H0​:
muμequals=100
versus Upper H 1H1​:
muμnot equals≠​100,
a simple random sample size of nequals=18
is obtained from a population that is known to be normally distributed. Answer parts​(a)-(d).

Several years​ ago, the reported mean age of an inmate on death row was 42.6 years. A sociologist wondered whether the mean age of a​ death-row inmate has changed since then. HeHe randomly selects 4141 ​death-row inmates and finds that their mean age is 40.8​, with a standard deviation of 10.5. Construct a90​% confidence interval about the mean age of death row inmates. What does the interval​ imply?

Choose the correct hypotheses.