a museum employee surveys a random sample of 350 visitors to the museum. Of those visitors, 266 stopped at the gift shop. Based on these results , about how many people out of the 2300 visitors would be expected to stop at the gift shop?

Respuesta :

1748 people are expected to stop at the gift shop out of 2300.

Step-by-step explanation:

Given,

Number of random sampled people = 350

Number of people who stopped at shop = 266

Percentage = [tex]\frac{People\ stopped}{Total\ people}*100[/tex]

Percentage = [tex]\frac{266}{350}*100=76\%[/tex]

Therefore,

76% people would stop at the gift stop.

Number of people = 2300

Expected number = 76% of total

Expected number = [tex]\frac{76}{100}*2300[/tex]

Expected number = 1748

1748 people are expected to stop at the gift shop out of 2300.