Question

the favorite sports of students in a statistics class are shown in the following table. 1. frank - basketball 2. angelica - none 3. calvin - none 4. anas - baseball 5. marissa - football 6. harold - hockey 7. kat - none 8. amy - basketball 9. keith - none 10. gerardo - hockey 11. craig - none 12. damon - basketball a. suppose technology randomly selects the following values: 2, 5, 7, 11, 9, 3. use this random sample to find the proportion of students who prefer none (type an integer or a simplified fraction.) if your result is used to describe the sample, is this part of descriptive or inferential statistics? explain a. inferential statistics because it uses tables, graphs, or calculations about a sample to draw conclusions about only the sample b. inferential statistics because it is using information from a sample to draw conclusions about the entire population c. descriptive statistics because it uses tables, graphs, or calculations about a sample to draw conclusions about only the sample d. descriptive statistics because it is using information from a sample to draw conclusions about the entire population

Explanation:

Step1: Identify total number of samples

There are 5 sample values (2, 5, 7, 11, 9). So the total number of samples $n = 5$.

Step2: Count number of 'none' responses

From the sample, the number of 'none' responses is 2. Let $x=2$.

Step3: Calculate the proportion

The proportion $p=\frac{x}{n}=\frac{2}{5}$.

Inferential statistics uses sample information to draw conclusions about the entire population. Here, if we were to use the sample data to make statements about all students in the class (the population), it would be inferential statistics.

Answer:

$\frac{2}{5}$

For the multiple - choice part about descriptive or inferential statistics: