Question

Pete took a sample of moviegoers to see how many are seeing a comedy. Sample size: 175 Number seeing a comedy: 42 Population: 1,525 Part A. Enter an equation that can be used to predict the number of moviegoers who are seeing a comedy, c. Part B. Based on the sample, how many moviegoers can Pete predict are seeing a comedy?

Answer 1

Answer: Part A : c = n.p

Part B = 366 moviegoers

Step-by-step explanation: In part A, to predict the number of moviegoers, we have to find the proportion of the sample that does the activity, which will called p. Since p is a percentage, to determine how many moviegoers are seeing a comedy, you multiply it by the sample size, n.

Therefore: c = n.p

For part B, based on the the sample:

p = $\frac{42}{175}$ = 0.24

The total population is given: 1,525

c = 0.24.1,525

c = 366

Based on the sample, 366 people are seeing a comedy.