Ask your own question, for FREE!
Mathematics 9 Online
OpenStudy (anonymous):

AP STATS HELP!! REWARD WITH MEDAL, FAN, and TESTIMONY!! b. Based on this sample, does a person's opinion on gun control depend on party affiliation, at the .05 level of significance?

OpenStudy (anonymous):

OpenStudy (anonymous):

@superdavesuper @amistre64 @kropot72 The information you need is in the attached picture.

OpenStudy (superdavesuper):

sorry I don't understand the difference between "expected" and "observed" as stated in ur prob. so I cant help :(

OpenStudy (anonymous):

its a chi squared lesson that involves expected values

OpenStudy (superdavesuper):

Ahh no wonder I looked again n still couldn't understand. I did not take that class. Plz see if u can get someone else to help u.

OpenStudy (anonymous):

will do :) thank you for trying though

OpenStudy (anonymous):

@sdfgsdfgs

OpenStudy (sdfgsdfgs):

yes? no luck in gettin' other helps? :(

OpenStudy (anonymous):

nope

OpenStudy (sdfgsdfgs):

there are some helpers online....u may want to tag 'em n see if they will help

OpenStudy (anonymous):

@nincompoop

OpenStudy (anonymous):

@jtvatsim got anything??

OpenStudy (jtvatsim):

I'm a little rusty, give me a sec... I think I can get something... :)

OpenStudy (jtvatsim):

To clarify, did you get anything for part A? What were your expected values?

OpenStudy (anonymous):

yes.

OpenStudy (anonymous):

Democrat favor: 16.72 Democrat Oppose: 23.04 Democrat Unsure: 2.52 Republican favor: 12.16 Republican oppose: 23.04 Republican Unsure: 1.4

OpenStudy (jtvatsim):

OK, thanks. Your results are a bit different than mine: How did you compute your expected values? Did you use a formula?

OpenStudy (anonymous):

yes.

OpenStudy (anonymous):

OpenStudy (anonymous):

look at democrat favor: 44*76/200 = 16.72

OpenStudy (jtvatsim):

love the screen shot name... lol

OpenStudy (anonymous):

lol I was attempting creativity, plus I am running low on names lol

OpenStudy (jtvatsim):

OK, I understand what you did with the formula.

OpenStudy (anonymous):

I need help with b

OpenStudy (jtvatsim):

Alright, still working on it... :)

OpenStudy (jtvatsim):

I'm just a bit concerned that those expected values don't add up to the correct totals.

OpenStudy (anonymous):

thank you very much you are a life saver

OpenStudy (jtvatsim):

No worries. :)

OpenStudy (jtvatsim):

OK, since this is the chi^2 test, we will use the following formula...

OpenStudy (jtvatsim):

(correct me if I'm wrong) x^2 = sum of (observed frequency - expected frequency)^2 / expected frequency \[\chi^2 = \Sigma \frac{(f_o - f_e)^2}{f_e}\]

OpenStudy (jtvatsim):

That is we compare each observed frequency to each expected frequency according to the formula and sum up.

OpenStudy (jtvatsim):

We will have six calculations (one for each category). Does that make sense so far?

OpenStudy (anonymous):

yes sir/mam

OpenStudy (anonymous):

What should I call you?

OpenStudy (jtvatsim):

sir will work :)

OpenStudy (anonymous):

ok :)

OpenStudy (jtvatsim):

Though I am just a recent graduate from university :)

OpenStudy (anonymous):

NICE!!! Did you like it? What was your major?

OpenStudy (anonymous):

sorry, off topic, ADHD.... that happens some times

OpenStudy (jtvatsim):

No worries, I have a couple of friends that have ADHD. As far as the degree, I did enjoy it, but don't be scared... it was mathematics major :)

OpenStudy (anonymous):

nice! You plan on teaching?

OpenStudy (jtvatsim):

Yes, actually I do. :)

OpenStudy (jtvatsim):

I want to rebel against the traditional way of teaching math, which is really bad and confusing.

OpenStudy (anonymous):

I am graduating next month and I plan on doing a double major in History and English and then teaching....

OpenStudy (anonymous):

me too... but with History... I want to make it fun to learn

OpenStudy (jtvatsim):

That's awesome! We certainly need more knowledge of history and english. That's impressive that you did a double major.

OpenStudy (anonymous):

:) It's impressive that you graduated with a diploma in Mathematics... That is something I could NEVER do...

OpenStudy (jtvatsim):

Haha! You might be surprised what you can do with enough time, frustration, and patience. But, sometimes it is nice to just do what you like (which luckily for me was math) :)

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

ANYWAYS MATH!!

OpenStudy (jtvatsim):

OK, I've computed the values, and I am pretty confident that this should be what the values of the expected outcomes are:

OpenStudy (jtvatsim):

That might mess you up for part A... but the formula I used was (bottom subtotal/grandtotal)*(right subtotal). For example, Democrat Favor is (76/200)*110 = 41.8.

OpenStudy (anonymous):

hmmmm ok.

OpenStudy (jtvatsim):

In any case, the thing that bothers me about the formula you applied was that you get results in which the Democrat total should be 110, but you expect 16.72 + 23.04 + 2.52 = 42.28 which isn't consistent.

OpenStudy (jtvatsim):

I am confident in the numbers I have computed (I'm rewatching the video lessons I took for Statistics as we speak), so I will do the chi^2 computation with those numbers.

OpenStudy (jtvatsim):

chi^2 = (44-41.8)^2/(41.8) + (48 - 52.8)^2/(52.8) + ... = 2.20

OpenStudy (jtvatsim):

I left some steps out to save space, but do you follow?

OpenStudy (anonymous):

yes

OpenStudy (jtvatsim):

Great! We have chi^2 = 2.20. Alright, now we need to look up our result in a chi-squared table or use a calculator. Either way, we must also know what our "degrees of freedom", df, are which is just "the number of categories minus one". In our case, we have three categories (Favor, Opposed, Unsure), so df = 2. OK so far?

OpenStudy (jtvatsim):

I'm using this table: https://people.richland.edu/james/lecture/m170/tbl-chi.html

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

sorry I am taking notes as we go along

OpenStudy (jtvatsim):

That's totally fine. :)

OpenStudy (jtvatsim):

Then, using either table or calculator, we find that a value of chi^2 = 2.20 and df = 2 has a probability somewhere between p = 0.90 and p = 0.10. This is not significant at the p = 0.05 level. It should be less than p = 0.05.

OpenStudy (jtvatsim):

If you want a MUCH more clear explanation with supporting graphics, you should check out Udacity.com. They have a free statistics video course and lesson on chi^2 tests.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

so that is how I will find my 0.5 level of significance

OpenStudy (jtvatsim):

That is correct. Everything is by tables or calculator.

OpenStudy (anonymous):

Thank you very much!! You are a life saver!!

OpenStudy (jtvatsim):

Here's the exact course I used: https://www.udacity.com/course/intro-to-inferential-statistics--ud201

OpenStudy (jtvatsim):

Your welcome! Glad to help!

OpenStudy (jtvatsim):

I believe it is lesson 16 if I'm not mistaken.

OpenStudy (anonymous):

I will take a look at it... Thank you

OpenStudy (jtvatsim):

Your welcome! Good luck with the AP work!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!