11.97 Sunscreen Use. Industry Research polled teenagers on sunscreen use. The survey revealed that 46% of teenage girls and 30% of teenage boys regularly use sunscreen before going out in the sun.
a. Identify the specified attribute.
b. Identify the two populations.
c. Are the proportions 0.46(46%) and 0.30(30%) sample proportions or population proportions? Explain your answer.

Short Answer

Expert verified

(a) Before going out in the sun, the stated characteristic is to use sunscreen.

(b) The two populations are adolescent boys and adolescent girls.

(c) The 0.46 and 0.30 amounts are sample proportions.

Step by step solution

01

Part (a) Step 1: Given information

To identify the specified attribute. Let, the survey revealed that 46%of teenage girls and 30% of teenage boys regularly use sunscreen before going out in the sun

02

Part (a) Step 2: Explanation

Before going out in the sun, 46percent of adolescent females and 30percent of teenage guys wear sunscreen on a daily basis.
Before going out in the sun, 46percent of adolescent females and 30percent of teenage guys wear sunscreen on a daily basis.
The provided attribute in this statement is to apply sunscreen before going outside in the sun.
As a result, before going out in the sun, the stated characteristic is to use sunscreen.

03

Part (b) Step 1: Given information

To identify the two populations. Let, The survey revealed that 46% of teenage girls and 30% of teenage boys regularly use sunscreen before going out in the sun.

04

Part (b) Step 2: Explanation

Before going out in the sun, 46percent of adolescent females and 30 percent of teenage guys wear sunscreen on a daily basis.
Before going out in the sun, 46percent of adolescent females and 30 percent of teenage guys wear sunscreen on a daily basis.
The debate in this statement is solely about females and boys.
As a result, there are two populations: adolescent guys and adolescent girls.
As a result, the two populations are adolescent boys and adolescent girls.

05

Part (c) Step 1: Given information

To explain the proportions 0.46(46%) and 0.30(30%) sample proportions or population proportions.

06

Part (c) Step 2: Explanation

Before going out in the sun, 46percent of adolescent females and 30 percent of teenage guys wear sunscreen on a daily basis.
Since then, there have been two distinct populations.
There are two samples proportions because the industry research obtained proportions by polling samples of the populations of all adolescent boys and teenage girls.
Asa result, the 0.46and 0.30 amounts are sample proportions.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

a. Determine the sample proportion.

b. Decide whether using the one-proportion z-test is appropriate.

c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test.

x=8

n=40

H0:p=0.3

H2:p<0.3

α=0.10

11.94 Drowning Deaths. In the article "Drowning Deaths of Zero to Five Year Old Children in Victorian Dams, 1989-2001" (Australian Journal of Rural Health, Vol. 13, Issue 5, pp. 300-308), L. Bugeja and R. Franklin examined drowning deaths of young children in Victorian dams to identify common contributing factors and develop strategies for future prevention. Of 11young children who drowned in Victorian dams located on farms, 5 were girls, At the 5% significance level, do the data provide sufficient evidence to conclude that, of all young children drowning in Victorian dams located on farms, less than half are girls?

a. Determine the sample proportion.

b. Decide whether using the one-proportion z-test is appropriate.

c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test.

x=10

n=40

role="math" localid="1651300220980" H0:p=0.3

Ha:p<0.3

role="math" localid="1651300430510" α=0.05

IMR in Singapore. The infant mortality rate (IMR) is the number of infant deaths per 1000 live births. Suppose that you have been commissioned to estimate the IMR in Singapore. From a random sample of 1109live births in Singapore, you find that 0.361%of them resulted in infant deaths. You next find a 90%confidence interval:

0.00361±1.645·(0.00361)(0.99639)/1109,

or 0.000647to 0.00657. You then conclude, "I can be 90%confident that the IMR in Singapore is somewhere between 0.647and 6.57." How did you do?

The Quinnipiac University Poll conducts nationwide surveys as a public service and for research. In one poll. participants were asked whether they thought eliminating the federal gas tax for the summer months is a good idea. The following problems are based on the results of that poll.

a. Of611Republicans, 275thought it a good idea, and, of 872Democrats, 366thought it a good idea. Obtain a 90%confidence interval for the difference between the proportions of Republicans and Democrats who think that eliminating the federal gas tax for the summer months is a good idea.

b. Of 907women,417thought it a good idea, and, of 838men, 310thought it a good idea. Obtain a90% confidence interval for the difference between the percentages of women and men who think that eliminating the federal gas tax for the summer months is a good idea.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free