An education researcher claims that 54% of college students work year-round. In a random sample of 600 college students, 324 say they work year-round. At α=0.10, 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 college students work year-round. B. At most nothing% of college students work year-round. C. The percentage of college students who work year-round is not nothing%. D. At least nothing% of college students work year-round. Let p be the population proportion of successes, where a success is a college student who works year-round. 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: p≤nothing Ha: p>nothing C. H0: p>nothing Ha: p≤nothing D. H0: p=nothing Ha: p≠nothing E. H0: pnothing. D. The rejection region is z>nothing. (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. ▼ Reject Fail to reject the null hypothesis. There ▼ is is not enough evidence to ▼ support reject the researcher's claim.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 1CA

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Question

An education researcher claims that

54%

of college students work year-round. In a random sample of

600

college students,

324

say they work year-round. At

α=0.10,

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 college students work year-round.

At most

nothing%

of college students work year-round.

The percentage of college students who work year-round is not

nothing%.

At least

nothing%

of college students work year-round.

Let p be the population proportion of successes, where a success is a college student who works year-round. 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 regions are

z<nothing

and

z>nothing.

The rejection region is

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.

▼

Reject

Fail to reject

the null hypothesis. There

▼

is not

enough evidence to

▼

support

reject

the researcher's claim.

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