A research center claims that more than 29% of employees in a certain country have changed jobs in the past three years. In a random sample of 220 people from that country, 77 have changed jobs in the past three years. At alphaαequals=0.10, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. 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. At most nothing% of employees in the country have changed jobs in the past three years. B. More than nothing% of employees in the country have changed jobs in the past three years. C. The percentage of employees in the country who have changed jobs in the past three years is not nothing%. D. nothing% of employees in the country have changed jobs in the past three years. Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past three years. State Upper H 0H0 and Upper H Subscript aHa. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. Upper H 0H0: pgreater than>nothing Upper H Subscript aHa: pless than or equals≤nothing B. Upper H 0H0: pnot equals≠nothing Upper H Subscript aHa: pequals=nothing C. Upper H 0H0: pgreater than or equals≥nothing Upper H Subscript aHa: pless thannothing E. Upper H 0H0: pequals=nothing Upper H Subscript aHa: pnot equals≠nothing F. Upper H 0H0: pless thannothing. C. The rejection region is zgreater than>nothing. D. The rejection region is nothingless than

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

A research center claims that more than

29%

of employees in a certain country have changed jobs in the past

three

years. In a random sample of

220

people from that country,

have changed jobs in the past

three

years. At

alphaαequals=0.10,

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

(a) Identify the claim and state

Upper H 0H0

and

Upper H Subscript aHa.

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.)

At most

nothing%

of employees in the country have changed jobs in the past

three

years.

More than

nothing%

of employees in the country have changed jobs in the past

three

years.

The percentage of employees in the country who have changed jobs in the past

three

years is not

nothing%.

nothing%

of employees in the country have changed jobs in the past

three

years.

Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past

three

years. State

Upper H 0H0

and

Upper H Subscript aHa.

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

(Round to two decimal places as needed.)

Upper H 0H0:

pgreater than>nothing

Upper H Subscript aHa:

pless than or equals≤nothing

Upper H 0H0:

pnot equals≠nothing

Upper H Subscript aHa:

pequals=nothing

Upper H 0H0:

pgreater than or equals≥nothing

Upper H Subscript aHa:

pless than<nothing

Upper H 0H0:

pless than or equals≤nothing

Upper H Subscript aHa:

pgreater than>nothing

Upper H 0H0:

pequals=nothing

Upper H Subscript aHa:

pnot equals≠nothing

Upper H 0H0:

pless than<nothing

Upper H Subscript aHa:

pgreater than or equals≥nothing

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

Identify the critical value(s) for this test.

z 0z0equals=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

zless than<nothing.

The rejection regions are

zless than<nothing

and

zgreater than>nothing.

The rejection region is

zgreater than>nothing.

The rejection region is

nothingless than<zless than<nothing.

zequals=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

▼

reject

support

the center's claim.

Click to select your answer(s).

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