If we negate option D, it says District 1 does have significantly fewer all-male high school than District 2.

In the city of Cantville, a high school earns the “Young Women in Science” award for a given year if at least ten of its female students participate in that year’s state science exposition.  Last year, 80 percent of all high schools in Cantville’s District 1 earned this award, while only 63 percent of all high schools in the city’s District 2 earned the same award.  Furthermore, these percentages have remained at or near those respective levels throughout the entire twelve years since the award was instituted.  It is clear, then, that the high schools in District 1 do a better job of encouraging girls to pursue science than do the high schools in District 2.

Which of the following is assumed in the argument above?

Students in District 1 have more free time to pursue science projects than do students in District 2.
The overall population of District 1 is not substantially larger than that of District 2.
The average high school in in District 2 does not have more students than does the average high school in District 1.
District 1 does not have significantly fewer all-male high schools than does District 2.
School is the primary source of encouragement for students’ pursuit of science.

Upon negation , If district 1 has significantly fewer male schools, then should’nt the number of female schools or co-ed schools be more?which means there can be atleast  10 girls from each school participating in the exposition.

 

on July 5, 2017.
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can someone please explain if District 1 does  have significantly fewer female all-male high school than District 2 is the  correct negation of option D in the above question.

Advanced Answered on July 6, 2017.
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yes. that’s the correct negation — The negation implies that District 2 has many more all male high schools than District 1. this mean that the relatively low number (63%) is not because District 2 does not do a good job of encouraging girls to pursue science but because it has a much higher proportion of all male high schools.

Expert Answered on July 7, 2017.
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