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100 BRAINLY POINTS
The data on the table describes the preferred type of music as surveyed by 9th graders.


Rock Pop Hip Hop Total
Males 15% 13% 21% 49%
Females 12% 16% 23% 51%
Total 27% 29% 44% 100%

Compare the conditional relative frequencies of a female preferring rock music to a male preferring rock music. Round your answers to two decimal places.
0.12 to 0.15
0.24 to 0.31
0.46 to 0.39
0.44 to 0.56



Answer :

greentoowon

The conditional relative frequency of a female preferring rock music is 0.12 (12%), and the conditional relative frequency of a male preferring rock music is 0.15 (15%). Therefore, the comparison is 0.12 to 0.15.

GwaGara

Answer:

0.24 to 0.31

Step-by-step explanation:

To compare the conditional relative frequencies of a female preferring rock music to a male preferring rock music, we need to find the proportion of females who prefer rock music and the proportion of males who prefer rock music.

The conditional relative frequency of females preferring rock music is calculated by dividing the number of females who prefer rock music by the total number of females surveyed: \( \frac{12\%}{51\%} = 0.24 \).

The conditional relative frequency of males preferring rock music is calculated by dividing the number of males who prefer rock music by the total number of males surveyed: \( \frac{15\%}{49\%} = 0.31 \).

So, the range for the conditional relative frequencies of a female preferring rock music to a male preferring rock music is 0.24 to 0.31.

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