For each situation described below, identify the population and the sample, explain what p and

ModifyingAbove p with caretp

represent, and tell whether it is appropriate to create a one-proportion z-interval. Complete parts a through d below.

Question content area bottom

Part 1

a) Police set up an auto checkpoint at which drivers are stopped and their cars inspected for safety problems. They find that

2222

of the

104104

cars stopped have at least one safety violation. They want to estimate the percentage of all cars that may be unsafe.

Identify the population. Choose the correct answer below.

A.

All cars

B.

All car passengers

C.

Those cars actually stopped at the checkpoint

D.

The passengers of those cars actually stopped at the checkpoint

Part 2

Identify the sample. Choose the correct answer below.

A.

All cars

B.

Those cars actually stopped at the checkpoint

C.

The passengers of those cars actually stopped at the checkpoint

D.

All car passengers

Part 3

What does p represent?

A.

The sample size

B.

The standard deviation of the proportion of cars actually seen with safety problems

C.

The proportion of cars actually seen with safety problems

D.

The proportion of all cars with safety problems

Part 4

What does

ModifyingAbove p with caretp

represent?

A.

The sample size

B.

The proportion of cars actually seen with safety problems

C.

The standard deviation of the proportion of cars actually seen with safety problems

D.

The proportion of all cars with safety problems

Part 5

Is it appropriate to create a one-proportion z-interval?

A.

It is not appropriate because the sample is less than 10% of the population.

B.

It is not appropriate because the sample is a simple random sample.

C.

It is appropriate because the sample is less than 10% of the population.

D.If the sample left parenthesis a cluster sample right parenthesis is representative comma then it is appropriate to create a one dash proportion z dash interval.

If the sample left parenthesis a cluster sample right parenthesis is representative comma then it is appropriate to create aIfthesample(aclustersample)isrepresentative,thenitisappropriatetocreatea

one dash proportion z dash interval.one-proportionz-interval.

Part 6

b)

Upper A TV talk shows asks viewers to register their opinion on prayer in schools by logging onATVtalkshowsasksviewerstoregistertheiropiniononprayerinschoolsbyloggingon

to a website. Of the 537 people who voted comma 419 favored prayer in schools. The show wantstoawebsite.Ofthe537peoplewhovoted,419favoredprayerinschools.Theshowwants

to estimate the level of support among the general public.toestimatethelevelofsupportamongthegeneralpublic.

Identify the population. Choose the correct answer below.

A.Those who logged onto the website

Those who logged onto the websiteThosewhologgedontothewebsite

B.The general public

The general publicThegeneralpublic

C.

All U.S. voters

D.

Internet users

Part 7

Identify the sample. Choose the correct answer below.

A.

Internet users

B.Those who logged onto the website

Those who logged onto the websiteThosewhologgedontothewebsite

C.

All U.S. voters

D.The general public

The general publicThegeneralpublic

Part 8

What does p represent?

A.The proportion of those who voted in the poll who favored prayer in school

The proportion of those who voted in the poll who favored prayer in schoolTheproportionofthosewhovotedinthepollwhofavoredprayerinschool

B.

The proportion of people who use the internet

C.

The probability of a "failure"

D.The population proportion of those who favor prayer in schools

The population proportion of those who favor prayer in schoolsThepopulationproportionofthosewhofavorprayerinschools

Part 9

What does

ModifyingAbove p with caretp

represent?

A.The population proportion of those who favor prayer in schools

The population proportion of those who favor prayer in schoolsThepopulationproportionofthosewhofavorprayerinschools

B.The proportion of those who voted in the poll who favored prayer in school

The proportion of those who voted in the poll who favored prayer in schoolTheproportionofthosewhovotedinthepollwhofavoredprayerinschool

C.

The probability of a "failure"

D.

The proportion of people who use the internet

Part 10

Is it appropriate to create a one-proportion z-interval?

A.

If the sample (cluster sample) is representative, then it is appropriate to create a one-proportion z-interval.

B.

It is not appropriate because the sample is biased and nonrandom.

C.

It is not appropriate because there not at least 10 "successes" and 10 "failures."

D.

It is appropriate because the sample is less than 10% of the population.

Part 11

c)

Upper A school is considering requiring students to wear uniforms. The PTA surveys parentAschoolisconsideringrequiringstudentstowearuniforms.ThePTAsurveysparent

opinion by sending a questionnaire home with all 1029 students. 286 surveys are returned commaopinionbysendingaquestionnairehomewithall1029students.286surveysarereturned,

with 198 in favor of the change.with198infavorofthechange.

Identify the population. Choose the correct answer below.

A.

The U.S. population

B.The parents of students at the school

The parents of students at the schoolTheparentsofstudentsattheschool

C.Those who returned the questionnaire

Those who returned the questionnaireThosewhoreturnedthequestionnaire

D.

The

10291029

people who received

questionnairesquestionnaires.

Part 12

Identify the sample. Choose the correct answer below.

A.Those who returned the questionnaire

Those who returned the questionnaireThosewhoreturnedthequestionnaire

B.

The

10291029

people who received questionnairesquestionnaires

C.The parents of students at the school

The parents of students at the schoolTheparentsofstudentsattheschool

D.

The U.S. population

Part 13

What does p represent?

A.The proportion of respondents who favor uniforms

The proportion of respondents who favor uniformsTheproportionofrespondentswhofavoruniforms

B.

The proportion of

questionnairesquestionnaires

returned

C.The proportion of all parents who favor uniforms

The proportion of all parents who favor uniformsTheproportionofallparentswhofavoruniforms

D.The proportion of parents of students at the school who favor the change

The proportion of parents of students at the school who favor the changeTheproportionofparentsofstudentsattheschoolwhofavorthechange

Part 14

What does

ModifyingAbove p with caretp

represent?

A.The proportion of parents of students at the school who favor the change

The proportion of parents of students at the school who favor the changeTheproportionofparentsofstudentsattheschoolwhofavorthechange

B.The proportion of all parents who favor uniforms

The proportion of all parents who favor uniformsTheproportionofallparentswhofavoruniforms

C.The proportion of respondents who favor uniforms

The proportion of respondents who favor uniformsTheproportionofrespondentswhofavoruniforms

D.

The proportion of

questionnairesquestionnaires

returned.

Part 15

Is it appropriate to create a one-proportion z-interval?

A.

If the sample (simple random sample) is representative, then it is appropriate to create a one-proportion z-interval.

B.

It is not appropriate because there not at least 10 "successes" and 10 "failures."

C.

It is not appropriate because this is not a simple random sample and there is a possible nonresponse bias.

D.

It is not appropriate because the respondents' answers are independent.

Part 16

d) A college admits

17041704

freshmen one year, and four years later,

15821582

of them graduate on time. The college wants to estimate the percentage of all their freshman enrollees who graduate on time.

Identify the population. Choose the correct answer below.

A.

The

17041704

students who entered that year

B.

The

15821582

students who graduated on time

C.

All college students

D.

Students at the college

Part 17

Identify the sample. Choose the correct answer below.

A.

The

17041704

students who entered that year

B.

The

15821582

students who graduated on time

C.

Students at the college

D.

All college students

Part 18

What does p represent?

A.

The proportion of that year's students who will graduate on time

B.

The proportion of all students at the college who will graduate on time

C.

The proportion of all students at the college who will not graduate on time

D.

The proportion of students at the college who are freshmen

Part 19

What does

ModifyingAbove p with caretp

represent?

A.

The proportion of that year's students who will graduate on time

B.

The proportion of students at the college who are freshmen

C.

The proportion of all students at the college who will not graduate on time

D.

The proportion of all students at the college who will graduate on time

Part 20

Is it appropriate to create a one-proportion z-interval?

A.

It is not appropriate because whether a student graduates on time is independent of whether another student graduates on time.

B.

It is not appropriate because this is not a simple random sample and there is a possible nonresponse bias.

C.

If that year's students (a cluster sample) are viewed as a representative sample of all possible students at the school, then it is appropriate to create a one-proportion z-interval.

D.

It is not appropriate because the sample is a simple random sample.