An education researcher claims that at most3%of working college students are employed as teachers or teaching assistants. In a random sample of500working college students,4%are employed as teachers or teaching assistants. Atα=0.05,is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and stateH0andHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.(Type an integer or a decimal. Do not round.) A.enter your response here%of working college students are employed as teachers or teaching assistants. B.At mostenter your response here%of working college students are employed as teachers or teaching assistants. C.More thanenter your response here%of working college students are employed as teachers or teaching assistants. D.The percentage of working college students who are employed as teachers or teaching assistants is notenter your response here%.Let p be the population proportion of successes, where a success is a working college student who is employed as a teacher or teaching assistant. StateH0andHa.Select the correct choice below and fill in the answer boxes to complete your choice.(Round to two decimal places as needed.) A.H0:p<enter your response hereHa:p≥enter your response here B.H0:p>enter your response hereHa:p≤enter your response here C.H0:p=enter your response hereHa:p≠enter your response here D.H0:p≥enter your response hereHa:p<enter your response here E.H0:p≤enter your response hereHa:p>enter your response here F.H0:p≠enter your response hereHa:p=enter your response here(b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. z0=enter your response here(Round to two decimal places as needed. Use a comma to separate answers as needed.)Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice.(Round to two decimal places as needed.) A.The rejection region isz<enter your response here. B.The rejection regions arez<enter your response hereandz>enter your response here. C.The rejection region isenter your response here<z<enter your response here. D.The rejection region isz>enter your response here.(c) Find the standardized test statistic z. z=enter your response here(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. ▼ RejectFail to rejectthe null hypothesis. There▼ isis notenough evidence to▼ supportrejectthe researcher's claim. TextbookCalculator

a) Denote p as the population proportion of working college students, who are employed as teachers…

An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 500 working college students, 4% are employed as teachers or teaching assistants. At α=0.05, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. enter your response here% of working college students are employed as teachers or teaching assistants. B. At most enter your response here% of working college students are employed as teachers or teaching assistants. C. More than enter your response here% of working college students are employed as teachers or teaching assistants. D. The percentage of working college students who are employed as teachers or teaching assistants is not enter your response here%. Let p be the population proportion of successes, where a success is a working college student who is employed as a teacher or teaching assistant. State H0 and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. H0: penter your response here Ha: p≤enter your response here C. H0: p=enter your response here Ha: p≠enter your response here D. H0: p≥enter your response here Ha: penter your response here F. H0: p≠enter your response here Ha: p=enter your response here (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. z0=enter your response here (Round to two decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) A. The rejection region is zenter your response here. C. The rejection region is enter your response hereenter your response here. (c) Find the standardized test statistic z. z=enter your response here (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. ▼ Reject Fail to reject the null hypothesis. There ▼ is is not enough evidence to ▼ support reject the researcher's claim.

An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 500 working college students, 4% are employed as teachers or teaching assistants. At α=0.05, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. enter your response here% of working college students are employed as teachers or teaching assistants. B. At most enter your response here% of working college students are employed as teachers or teaching assistants. C. More than enter your response here% of working college students are employed as teachers or teaching assistants. D. The percentage of working college students who are employed as teachers or teaching assistants is not enter your response here%. Let p be the population proportion of successes, where a success is a working college student who is employed as a teacher or teaching assistant. State H0 and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. H0: penter your response here Ha: p≤enter your response here C. H0: p=enter your response here Ha: p≠enter your response here D. H0: p≥enter your response here Ha: penter your response here F. H0: p≠enter your response here Ha: p=enter your response here (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. z0=enter your response here (Round to two decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) A. The rejection region is zenter your response here. C. The rejection region is enter your response hereenter your response here. (c) Find the standardized test statistic z. z=enter your response here (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. ▼ Reject Fail to reject the null hypothesis. There ▼ is is not enough evidence to ▼ support reject the researcher's claim.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.2: Polynomial Functions

Problem 96E: What is the purpose of the Intermediate Value Theorem?

See similar textbooks

Related questions

Question

An education researcher claims that at most

of working college students are employed as teachers or teaching assistants. In a random sample of

500

working college students,

are employed as teachers or teaching assistants. At

α=0.05,

is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below.

(a) Identify the claim and state

and

Ha.

Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.

(Type an integer or a decimal. Do not round.)

enter your response here%

of working college students are employed as teachers or teaching assistants.

At most

enter your response here%

of working college students are employed as teachers or teaching assistants.

More than

enter your response here%

of working college students are employed as teachers or teaching assistants.

The percentage of working college students who are employed as teachers or teaching assistants is not

enter your response here%.

Let p be the population proportion of successes, where a success is a working college student who is employed as a teacher or teaching assistant. State

and

Ha.

Select the correct choice below and fill in the answer boxes to complete your choice.

(Round to two decimal places as needed.)

H0:

p<enter your response here

Ha:

p≥enter your response here

H0:

p>enter your response here

Ha:

p≤enter your response here

H0:

p=enter your response here

Ha:

p≠enter your response here

H0:

p≥enter your response here

Ha:

p<enter your response here

H0:

p≤enter your response here

Ha:

p>enter your response here

H0:

p≠enter your response here

Ha:

p=enter your response here

(b) Find the critical value(s) and identify the rejection region(s).

Identify the critical value(s) for this test.

z0=enter your response here

(Round to two decimal places as needed. Use a comma to separate answers as needed.)

Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice.

(Round to two decimal places as needed.)

The rejection region is

z<enter your response here.

The rejection regions are

z<enter your response here

and

z>enter your response here.

The rejection region is

enter your response here<z<enter your response here.

The rejection region is

z>enter your response here.

z=enter your response here

(Round to two decimal places as needed.)

(d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.

▼

Reject

Fail to reject

the null hypothesis. There

▼

is not

enough evidence to

▼

support

reject

the researcher's claim.

TextbookCalculator

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here