A research center claims that more than 25 % of employees in a certain country have changed jobs in the past four years. In a random sample of 260 people from that country, 78 have changed jobs in the past four years. At alpha equals0.05 , is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0 and Upper H Subscript a . 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 four years. B. More than nothing % of employees in the country have changed jobs in the past four years. C. nothing % of employees in the country have changed jobs in the past four years. D. The percentage of employees in the country who have changed jobs in the past four years is not nothing %. Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past four years. State Upper H 0 and Upper H Subscript a . 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 0 : pgreater than or equals nothing Upper H Subscript a : pless than nothing B. Upper H 0 : pless than nothing Upper H Subscript a : pgreater than or equals nothing C. Upper H 0 : pless than or equals nothing Upper H Subscript a : pgreater than nothing D. Upper H 0 : pnot equals nothing Upper H Subscript a : pequals nothing E. Upper H 0 : pequals nothing Upper H Subscript a : pnot equals nothing F. Upper H 0 : pgreater than nothing Upper H Subscript a : pless 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 0 equalsnothing (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 zless than nothing . B. The rejection regions are zless than nothing and zgreater than nothing . C. The rejection region is zgreater than nothing . D. The rejection region is nothing less thanzless thannothing . (c) Find the standardized test statistic z. 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. ▼ Reject Fail to reject the null hypothesis. There ▼ is not is enough evidence to ▼ reject support
A research center claims that more than 25 % of employees in a certain country have changed jobs in the past four years. In a random sample of 260 people from that country, 78 have changed jobs in the past four years. At alpha equals0.05 , is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0 and Upper H Subscript a . 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 four years. B. More than nothing % of employees in the country have changed jobs in the past four years. C. nothing % of employees in the country have changed jobs in the past four years. D. The percentage of employees in the country who have changed jobs in the past four years is not nothing %. Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past four years. State Upper H 0 and Upper H Subscript a . 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 0 : pgreater than or equals nothing Upper H Subscript a : pless than nothing B. Upper H 0 : pless than nothing Upper H Subscript a : pgreater than or equals nothing C. Upper H 0 : pless than or equals nothing Upper H Subscript a : pgreater than nothing D. Upper H 0 : pnot equals nothing Upper H Subscript a : pequals nothing E. Upper H 0 : pequals nothing Upper H Subscript a : pnot equals nothing F. Upper H 0 : pgreater than nothing Upper H Subscript a : pless 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 0 equalsnothing (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 zless than nothing . B. The rejection regions are zless than nothing and zgreater than nothing . C. The rejection region is zgreater than nothing . D. The rejection region is nothing less thanzless thannothing . (c) Find the standardized test statistic z. 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. ▼ Reject Fail to reject the null hypothesis. There ▼ is not is enough evidence to ▼ reject support
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
A research center claims that more than
25
%
of employees in a certain country have changed jobs in the past
four
years. In a random sample of
260
people from that country,
78
have changed jobs in the past
four
years. At
alpha
equals0.05
,
is there enough evidence to support the center's claim? Complete parts (a) through (e) below.(a) Identify the claim and state
Upper H 0
and
Upper H Subscript a
.
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
four
B.
More than
nothing
%
of employees in the country have changed jobs in the past
four
C.
nothing
%
of employees in the country have changed jobs in the past
four
D.
The percentage of employees in the country who have changed jobs in the past
four
years is not
nothing
%.
Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past
four
years. State
Upper H 0
and
Upper H Subscript a
.
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 0
:
pgreater than or equals
nothing
Upper H Subscript a
:
pless than
nothing
B.
Upper H 0
:
pless than
nothing
Upper H Subscript a
:
pgreater than or equals
nothing
C.
Upper H 0
:
pless than or equals
nothing
Upper H Subscript a
:
pgreater than
nothing
D.
Upper H 0
:
pnot equals
nothing
Upper H Subscript a
:
pequals
nothing
E.
Upper H 0
:
pequals
nothing
Upper H Subscript a
:
pnot equals
nothing
F.
Upper H 0
:
pgreater than
nothing
Upper H Subscript a
:
pless 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 0
equalsnothing
(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
zless than
nothing
.
B.
The rejection regions are
zless than
nothing
and
zgreater than
nothing
.
C.
The rejection region is
zgreater than
nothing
.
D.
The rejection region is
nothing
less thanzless thannothing
.
(c) Find the standardized test statistic z.
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.
▼
Reject
Fail to reject
▼
is not
is
▼
reject
support
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