Question

1. eric found that about 60% of 80 classmates at school like hip - hop music. however, 70% of his 60 relatives like hip - hop. which statement is true? a the number of his relatives who like hip - hop is greater than the number of his classmates who like hip - hop. b the number of his classmates who like hip - hop is equal to the number of his relatives who like hip - hop. c the number of his classmates who like hip - hop is less than the number of his relatives who like hip - hop. d the number of his classmates who like hip - hop is greater than the number of his relatives who like hip - hop.

Explanation:

Step1: Calculate the number of classmates who like hip - hop

The number of classmates is \(n_1 = 80\), and the proportion is \(p_1=60\%=0.6\).
The number of classmates who like hip - hop is \(N_1 = 80\times0.6=48\).

Step2: Calculate the number of relatives who like hip - hop

The number of relatives is \(n_2 = 60\), and the proportion is \(p_2 = 70\%=0.7\).
The number of relatives who like hip - hop is \(N_2=60\times0.7 = 42\).

Answer:

A. The number of his relatives who like hip - hop is greater than the number of his classmates who like hip - hop.