Question

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 appropriate z-score.

d.) Determine whether to reject or fail to reject ?0 .

e.) Interpret this decision in the context of the original claim.

Answer #1

a)

H0: p 0.18

Ha: p > 0.18

b)

Test statistics

z = ( - p) / sqrt [ p( 1 - p) / n ]

= (0.20 - 0.18) / sqrt [ 0.18 ( 1 - 0.18) / 1995 ]

= **2.33**

c)

Critical value at 0.05 level = 1.645 (From Z table)

d)

Since z-score falls in rejection region, Reject H0.

e)

We have sufficient evidence to conclude that at most 18% of U.S. adults’ online food purchases are for snacks.

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...

A humane society claims that less than 34% of U.S. households
own a dog. In a random sample of 399 U.S. households, 151 say they
own a dog. At alphaequals0.04, is there enough evidence to support
the society's claim? (a) Write the claim mathematically and
identify Upper H 0 and Upper H Subscript a. (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...

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)...

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 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 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...

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...

Use the below to solve 8,10,12 1. Identify n, p, and q. Verify
that np 5 and nq 5. 2. State the claim both verbally and
mathematically. Identify the null and alternative hypotheses.
(State H0 and Ha) 3. Determine what type of test you will be doing:
If Ha is < then left tailed If Ha is > then right tailed If
Ha is then two tailed 4. Specify the level of significance, α. This
represents the area under the...

A credit card company claims that the mean credit card debt for
individuals is greater than $4,900. You want to test this claim.
You find that a random sample of 38 cardholders has a mean credit
card balance of $5,194 and a standard deviation of $550. At
α=0.05, can you support the claim?
Write the claim mathematically and identify H0 and Ha.
Find the critical value(s) and identify the rejection
region(s).
Find the standardized test statistic t.
Decide whether to...

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.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 42 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour 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