Question

Eve takes a random sample of 100 students in her school and finds that 82% of the sample prefers band over chorus. There are 1,100 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer band over chorus? 82 100 1,100 902 Yes, this is a valid inference because the 30 families speak for the whole neighborhood Yes, this is a valid inference because she took a random sample of the neighborhood No, this is not a valid inference because she did not take a random sample of the neighborhood No, this is not a valid inference because she asked only 30 families

Answer 1

902

Step-by-step explanation:

Given that :

Sample size = 100

Percentage that prefers band over chorus = 82%

Sample Proportion = 82/100 = 0.82

Number of students in the school ; population size = 1100

Expected number of students who would prefer band over chorus :

Using the sample proportion :

0.82 * 1100 = 902 students