Question

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

(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

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

Part (a) Step 2: Explanation

Before going out in the sun, $46$percent of adolescent females and $30$percent of teenage guys wear sunscreen on a daily basis.
Before going out in the sun, $46$percent of adolescent females and $30$percent 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.

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.

Part (b) Step 2: Explanation

Before going out in the sun, $46$percent of adolescent females and $30$ percent of teenage guys wear sunscreen on a daily basis.
Before going out in the sun, $46$percent 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.

Part (c) Step 1: Given information

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

Part (c) Step 2: Explanation

Before going out in the sun, $46$percent 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 $0.46$and $0.30$ amounts are sample proportions.