Math teachers frequently claim that doing hw helps students get better grades in their math classes....
Math teachers frequently claim that doing hw helps students get better grades in their math classes. To test this claim, a survey of high school math students was conducted from which the following results were obtained:
- 48% completed math hw regularly
- 55% have a B average or better in math class
- 40% do not complete math hw regularly AND have less than a B average in math class
Do these data support the claim that students who complete math hw regularly are more likely to get a B or better in math class? Justify your answer.
Homework Answers
completed math hw regularly = 48%
have a B average or better in math class = 55%
do not complete math hw regularly AND have less than a B average in math class = 40%
complete math hw regularly OR have more than a B average in math class = 100 - do not complete math hw regularly AND have less than a B average in math class
complete math hw regularly OR have more than a B average in math class = 100 - 40
complete math hw regularly OR have more than a B average in math class = 60%
Now,
complete math hw regularly OR have more than a B average in math class = completed math hw regularly + have a B average or better in math class - complete math hw regularly AND have more than a B average in math class
60 = 48 + 55 - complete math hw regularly AND have more than a B average in math class
complete math hw regularly AND have more than a B average in math class = 48 + 55 - 60
complete math hw regularly AND have more than a B average in math class = 43%
Only 43% of the students who has done their hw regularly has scored more than a B average in maths class.
Hence it does not support the claim
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Math teachers frequently claim that doing hw helps students get
better grades in their math classes....
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