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A survey of 370 people was conducted to investigate the association between watching Anime and the age of the person - HSC - SSCE Mathematics Standard - Question 12 - 2024 - Paper 1

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Question 12

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A survey of 370 people was conducted to investigate the association between watching Anime and the age of the person. The two-way table shows the responses collecte... show full transcript

Worked Solution & Example Answer:A survey of 370 people was conducted to investigate the association between watching Anime and the age of the person - HSC - SSCE Mathematics Standard - Question 12 - 2024 - Paper 1

Step 1

Calculate the number of over 30-year-olds who watch Anime

96%

114 rated

Answer

From the table, the number of over 30-year-olds who watch Anime is 34.

Step 2

Calculate the total number of over 30-year-olds

99%

104 rated

Answer

The total number of over 30-year-olds is given in the table as 157.

Step 3

Calculate the percentage of over 30-year-olds who watch Anime

96%

101 rated

Answer

To find the percentage, use the formula:

ext{Percentage} = rac{ ext{Number who watch Anime}}{ ext{Total number of over 30-year-olds}} imes 100

Substituting the values:

ext{Percentage} = rac{34}{157} imes 100 \\ ext{Percentage} ext{ ≈ } 21.65\%

Rounded to the nearest whole number, this is approximately 22%.

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