Question

lesson 23 | session 2
2 alex works at a movie theater. one friday, she collects a random sample of the type of tickets sold in the afternoon and the evening. she estimates that when 400 tickets are sold on a friday evening, about 100 will be senior tickets. is alex’s estimate reasonable? explain.
time of day | adult | senior
afternoon | 12 | 48
evening | 45 | 15

Explanation:

Step1: Calculate evening sample total

$45 + 15 = 60$

Step2: Find senior ticket proportion (evening)

$\frac{15}{60} = 0.25$

Step3: Apply proportion to 400 tickets

$400 \times 0.25 = 100$

Answer:

Yes, Alex's estimate is reasonable.