Question

2. 7.4 QUESTION 5 A research center claims that at most 77% of adults in a certain country think that drivers are safer using hands-free cell phones instead of using hand-held cell phones. In a random sample of 150 adults from that country, 80% think that drivers are safer using hands-free cell phones instead of using hand-held cell phones. At αequals=0.01, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. b.

(a)Identify HO and HA

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

The critical value(s) is/are z 0= nothing. . What is/are the rejection region(s)?

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

c. Find the standardized test statistic z.

d) Decide whether to reject or fail to reject the null hypothesis and

(e) interpret the decision in the context of the original claim. ______H0. There is _________ enough evidence at the __% level of significance to ________the centers claim that ____of ______ think that…..

Answer #1

H0: p = 0.77

Ha: p > 0.77

b)

This is right tailed test, hence critical values will be on
right

z-critical = 2.33

c)

pcap = 0.8

n = 150

SE = sqrt(p * (1-p) / n)

SE = sqrt(0.77 * 0.23 / 150)

SE = 0.0344

test statistic,

z = (pcap - p)/SE

z = (0.8 - 0.77)/0.0344

z = 0.8721

d)

As test statistic < critical value, fail to reject H0

e)

Reject H0. There is not enough evidence at the 1% level of
significance to conclude that the centers claim that 77% of adults
in a certain country think that drivers are safer using hands-free
cell phones instead of using hand-held cell phones

A research center claims that less than 70% of U.S. adults think
that drivers are safer using hands-free cell phones instead of
using hand-held cell phones. In a random sample of 50 U.S. adults,
60% think that drivers are safer using hands-free cell phones
instead of hand-held cell phones. Assume you wish to test is there
enough evidence to reject the center’s claim with alpha = 0.10.
Compute the test statistics.

A research center claims that at least 31% of adults in a
certain country think that their taxes will be audited. In a random
sample of 700 adults in that country in a recent year, 27% say
they are concerned that their taxes will be audited. At
alphaαequals=0.10, is there enough evidence to reject the
center's claim? Complete parts (a) through(e) below.
(c) Find the standardized test statistic z.
(Round to two decimal places as needed.)
(d) Decide whether to...

A research center claims that at most 18% of U.S. adults’ online
food purchases are for snacks. In a random sample of 1995 U.S.
adults, 20% say their online food purchases are for snacks. At ? =
0.05, is there enough evidence to support the center’s claim?
a.) Identify ?0∶ _______________ and ??: ____________
b.) Find the standardized test statistic, z. ? = ?̂ ̅−?
√??/?
c.) For = 0.05, find and describe the rejection region. Identify
and label the...

A medical researcher says that less than
88%
of adults in a certain country think that healthy children
should be required to be vaccinated. In a random sample of
500
adults in that country,
85%
think that healthy children should be required to be vaccinated.
At α=0.01,
is there enough evidence to support 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...

A medical researcher says that less than 24% of adults in a
certain country are smokers. In a random sample of 200 adults from
that country, 17.5% say that they are smokers. At α=0.05, is
there enough evidence to support the researcher's claim? Complete
parts (a) through (e) below. (a) Identify the claim and state H0
and HA (b) Find the critical value(s) and identify the rejection
region(s). (c) Find the standardized test statistic z (d) Decide
whether to reject...

A humane society center claims that less than 63% of households
in a certain country own a pet. In a random sample of 400
households in that country, 236 say that they own a pet. At
α=0.01, is there enough evidence to support the society's center's
claim? Complete parts (a) through (d) below.
(a) Identify the claim and state H0 and Ha.
Let p be the population proportion of successes, where a
success is a household in the country that...

Hypothesis Testing Using Rejection Regions. In
Exercises 7–12, (a) identify the claim and state H0 and Ha, (b)
find the critical value(s) and identify the rejection region(s),
(c) find the standardized test statistic z, (d) decide whether to
reject or fail to reject the null hypothesis and (e) interpret the
decision in the context of the original claim.
7. Vaccination Requirement A medical researcher
says that less than 80% of U.S. adults think that healthy children
should be required to...

An education researcher claims that
58%
of college students work year-round. In a random sample of
300
college students,
174
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 humane society claims that less than
thirty two percent
of U.S. households own a dog. In a random sample of
four hundred and nine
U.S. households,
153
say they own a dog. At
alphaαequals=0.04
is there enough evidence to support the society's claim?(a)
Write the claim mathematically and identify
Upper H 0H0
and
Upper H Subscript aHa.
(b) Find the critical value(s) and identify the rejection
region(s). (c) Find the standardized test statistic. (d) Decide
whether to reject or...

A humane society claims that less than 33% of U.S. households
own a dog. In a random sample of 404 U.S. households, 152 say they
own a dog. At a =0.10, is there enough evidence to support the
society's claim? (a) Write the claim mathematically and identify
H0 and Ha. (b) Find the critical value(s) and identify the
rejection region(s). (c) Find the standardized test statistic.
(d) Decide whether to reject or fail to reject the null
hypothesis, and (e)...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 12 minutes ago

asked 25 minutes ago

asked 48 minutes ago

asked 49 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago