Question

2. 7.4 QUESTION 5 A research center claims that at most 77% of adults in a...

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…..

Homework Answers

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

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A research center claims that less than 70% of U.S. adults think that drivers are safer...
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...
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...
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...
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....
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 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=0.0​1, 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...
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...
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....
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...
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
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT