The table shows movie preferences among high school and college students. Movie Preference - Action Drama Comedy Row totals High School 40 23 12 75 College 20 55 28 103 Column totals 60 78 40 178
Which of the following are possible positive associations or trends? For the condition of type of movie, high school students prefer action—40%. For the condition of type of movie, college students prefer drama—70.5%. For the condition of type of movie, high school students prefer action—67%. For the condition of type of movie, college students prefer drama—55%.
@tHe_FiZiCx99 Help ?
@calculusxy
My suggestion to solve and check for which option is correct is by using this method which I love the best to check percentages out of wholes.
% of (whole) = part for now you are really solving for the percent and the whole is the total (which I believe the number is already provided). The part is the category total depending in each school type. The formula is: is % --- =. ---- of 100 Is - the past of - whole % is the percent (which in this case would be x)
*is - the part
Can you do one for the first option ? just as an example ? I understand what you're saying but im not sure how to turn the options int that equations. If not that's fine, I'm just really confused on this /:
*into *that *I'm
I am always ready to give examples!
Ok in the first option, we see that we have to look over at the action category for high school. So far so good?
So far so good.
Now they present us with the percentage and we want to check if the percentage there is correct is presented. So we leave the percent part of the equation blank since we want to solve for it. The whole will be the total votes there are in the high school voting. The part will be the amount of people who chose action as their favorite in high school. Our equation should be: __ (where the % goes) of 75 (the row total) = 40 (people who chose action as their favorite in high school). You're with me?
I'm with you, But isn't it is/of = %/100 ? so wouldn't that just be %/75 = 40/x ?
Sorry, I know I'm a tad confusing /:
No problem, we are getting there right now.
So the equation, as we know, is: is. % -- =. --- of. 100 Remember what I told you here. is - the part (people who chose action in high school) of - the row total % - what we are solving for (which can be replaced by x) Can you fill the proportion for me here?
40/75 = x/100 ?
Perfect!
Can you solve for x here?
Or do you need help?
40 x 100/75 right ?
i got 53.3 repeating..
Are you saying 40 x 100 and then divide by 75?
Yes that's how you do it. So since you got 53.3... Then you know that A May not be a possible answer.
And by the way 53.33... Is in decimal. The percent would be 5333.33%
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