Question

4. A survey explored the relationship between gender and video game play. Which is not a reasonable interpretation of the data? Play Daily Do Not Play Daily Total Boys 45 5 50 Girls 12 38 50 Total 57 43 100 O A) More boys surveyed play video game daily than girls. TO B) Ignoring gender, a little more than half of the students surveyed play video games daily. Of the boys surveyed, 5% do not play video games daily. OD) Of the girls surveyed, exactly 24% play video games daily.

Answer 1

C.

Step-by-step explanation:

Let's analyze each answer option:

Option A.

Taking into account the table, we can say that 45 boys play video games daily and 12 girls play video games daily, so more boys play video games daily than girls because 45 is greater than 12.

Option B.

In the same way, there is a total of 57 students that play video games daily and 43 that don't. Since 57 is a little higher than 50 (half of the 100 students surveyed), we can say that a little more than a half of the students surveyed play video games daily.

Option C.

There are 50 boys surveyed and from them 5 do not play video games daily, so the percentage of boys that don't play video games daily is:

`(5)/(50)*100=0.1*100=10\text{ \%}`

Option D.

In the same way, there are 50 girls surveyed, and 12 play video games daily, so the percentage of girls that play video games daily is:

`(12)/(50)*100=0.24*100=24\text{ \%}`

Therefore, the only option that is not a reasonable interpretation of the data is C. because the percentage of boys that don't play video games daily is 10% instead of 5%