Q 1.25. - Elementary Statistics

Question

Medical Testing on Animals. In its Summer 2013 Animal Action Report, the National Anti-Vivisection Society stated that "59% of Americans between the ages of 18 and 29 oppose medical testing on animals." The percentage of 59% was computed from sample data. 

(a). Identify the population under consideration. 

(b). Identify the sample under consideration. 

(c). Is the statement in quotes descriptive or inferential? 

(d). If you wanted to make it clear that the percentage of 59% was computed from sample data, how would you rephrase the statement in quotes?

Step-by-Step Solution

Answer

Part (a) All Americans aged between 18 to 24. 

Part (b) Americans between the ages of 18 and 24 who participate in the survey. 

Part (c) Inferential statement

Part (d) 59 percent of those aged 18 to 24 oppose medical experiments on animals.

Part (a) Step 1. Given information.

The given statement is:

In its Summer 2013 Animal Action Report, the National Anti-Vivisection Society stated that "59% of Americans between the ages of 18 and 29 oppose medical testing on animals." The percentage of 59% was computed from sample data.

Part (a) Step 2. Identify the population under consideration.

The study appears to be focused on Americans between the ages of 18 and 24 based on the information provided.

As a result, the population consists of all Americans aged between 18 to 24.

Part (b) Step 1. Identify the sample under consideration.

In a statistical study, a sample is a portion of the population that is considered for the investigation.

The sample for this study is made up of Americans between the ages of 18 and 24 who participate in the survey.

Part (c) Step 1. State if the given statement in quotes is descriptive or inferential.

The percentage inside the quotes indicates a sample of Americans between the ages of 18 and 24 who reject animal testing for medicinal purposes.

To put it another way, the sample yielded 59 percent. Furthermore, the conclusion regarding all Americans between the ages of 18 and 24 is based on a sample of the population.

As a result, the statement is an example of inferential statistics.

Part (d) Step 1. Rephrase the statement in quotes if the percentage of 59% was computed from sample data.

By rephrasing the given assertion as it is evident that it is derived from the sample data. 

According to a survey of Americans aged 18 to 24, 59 percent of those aged 18 to 24 oppose medical experiments on animals.