An education researcher claims that at most 4% of working college students are employed as teachers or teaching assistants. In a random sample of 600 working college students, 6% 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. nothing% of working college students are employed as teachers or teaching assistants. B. More than nothing% of working college students are employed as teachers or teaching assistants. C. The percentage of working college students who are employed as teachers or teaching assistants is not nothing%. D. At most nothing% of working college students are employed as teachers or teaching assistants. 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: p≠nothing Ha: p=nothing B. H0: pnothing E. H0: p≥nothing Ha: pnothing Ha: p≤nothing (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. z0=nothing (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 nothingnothing. C. The rejection region is znothing. (c) Find the standardized test statistic z. z=nothing (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. ▼ Fail to reject Reject the null hypothesis. There ▼ is is not enough evidence to ▼ support reject the researcher's claim.

An education researcher claims that at most 4% of working college students are employed as teachers or teaching assistants. In a random sample of 600 working college students, 6% 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. nothing% of working college students are employed as teachers or teaching assistants. B. More than nothing% of working college students are employed as teachers or teaching assistants. C. The percentage of working college students who are employed as teachers or teaching assistants is not nothing%. D. At most nothing% of working college students are employed as teachers or teaching assistants. 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: p≠nothing Ha: p=nothing B. H0: pnothing E. H0: p≥nothing Ha: pnothing Ha: p≤nothing (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. z0=nothing (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 nothingnothing. C. The rejection region is znothing. (c) Find the standardized test statistic z. z=nothing (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. ▼ Fail to reject Reject the null hypothesis. There ▼ is is not enough evidence to ▼ support reject the researcher's claim.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

An education researcher claims that at most

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

600

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.)

nothing%

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

More than

nothing%

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

nothing%.

At most

nothing%

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

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≠nothing

Ha:

p=nothing

H0:

p<nothing

Ha:

p≥nothing

H0:

p=nothing

Ha:

p≠nothing

H0:

p≤nothing

Ha:

p>nothing

H0:

p≥nothing

Ha:

p<nothing

H0:

p>nothing

Ha:

p≤nothing

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

Identify the critical value(s) for this test.

z0=nothing

(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

nothing<z<nothing.

The rejection region is

z>nothing.

The rejection region is

z<nothing.

The rejection regions are

z<nothing

and

z>nothing.

z=nothing

(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.

▼

Fail to reject

Reject

the null hypothesis. There

▼

is not

enough evidence to

▼

support

reject

the researcher's claim.

Click to select your answer(s).

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