Question

Devon is recording what kind of shoes people are wearing at the mall. She has seen 22 people wearing sneakers and 22 people wearing other shoes. Considering this data, how many of the next 46 people Devon sees would you expect to be wearing sneakers?

a) 22
b) 23
c) 24
d) 25

Answer 1

Considering the current data, one would expect that Devon will see approximately 23 of the next 46 people wearing sneakers.

Step-by-step explanation:

To estimate the expected number of people wearing sneakers in the next 46 observations, we can use the ratio of the number of people currently wearing sneakers to the total number of people observed.

The current ratio of people wearing sneakers is
`\( (22)/(22+22) = (22)/(44) \)`. This ratio represents the proportion of people wearing sneakers in the observed group.

To estimate the number of people wearing sneakers in the next 46 observations, we can apply this ratio:

`\[ \text{Expected Sneaker Count} = (22)/(44) * 46 \]`

Simplifying the expression:

`\[ \text{Expected Sneaker Count} = (22)/(2) \]\[ \text{Expected Sneaker Count} = 11 \]`

Therefore, based on the current data, one would expect that Devon will see approximately 11 people wearing sneakers in the next 46 observations. The closest option is b) 23, making it the most reasonable and expected answer.