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OpenStudy (anonymous):

PlZ HELP EXPLAIN!

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

z with a small 0.05 under it means it wants to know the value of k such that P(Z < k) = 0.05

OpenStudy (anonymous):

ok?

jimthompson5910 (jim_thompson5910):

do you know what I mean?

OpenStudy (anonymous):

not really no.

jimthompson5910 (jim_thompson5910):

remember how earlier we were finding areas under the curve?

OpenStudy (anonymous):

yah

jimthompson5910 (jim_thompson5910):

well now, we have an area (0.05) and we want to find the boundary marker k that gives us that area of 0.05

jimthompson5910 (jim_thompson5910):

we basically want to find which value of k gives us an area of 0.05 where the area is to the left of k

OpenStudy (anonymous):

so i look up 0.05 on the z score table?

jimthompson5910 (jim_thompson5910):

actually, sry to the right of k so you would be looking at 1 - 0.05 = 0.95 so look in an inverse normal table for 0.95

OpenStudy (anonymous):

ok one sec i'll look for that

jimthompson5910 (jim_thompson5910):

alright

OpenStudy (anonymous):

0.8289?

jimthompson5910 (jim_thompson5910):

no

jimthompson5910 (jim_thompson5910):

it's probably better if we use a calculator, do you want to do it that way?

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

oh i see where you went wrong

jimthompson5910 (jim_thompson5910):

you're looking at the wrong table

jimthompson5910 (jim_thompson5910):

that table will give you the area under the curve for a given z score (it will give it to the left of that z-score)

OpenStudy (anonymous):

?

jimthompson5910 (jim_thompson5910):

if you wanted to find the area to the left of z = 0.95, then you would get an area of roughly 0.8289

OpenStudy (anonymous):

so i need this table?

jimthompson5910 (jim_thompson5910):

that's not what you want though

jimthompson5910 (jim_thompson5910):

that's basically the same table (just using different numbers for z)

OpenStudy (anonymous):

how do you do it on a calculator?

jimthompson5910 (jim_thompson5910):

if you are using wolfram alpha, then you would type this in invnorm(0.95) to get this http://www.wolframalpha.com/input/?i=invnorm%280.95%29

jimthompson5910 (jim_thompson5910):

notice in the first row where it says "left tail" it shows P(Z < 1.645) = 0.95

jimthompson5910 (jim_thompson5910):

so that's how they got 1.645

OpenStudy (anonymous):

ahhh ok i get that now. lol ok i'll try that with my homework question now

OpenStudy (anonymous):

thank you! that defiantly helped!

jimthompson5910 (jim_thompson5910):

alright, glad it's making sense now

OpenStudy (anonymous):

@jim_thompson5910 UGH now it says i'm wrong! It was the same problem as on the example except it was x=120 n=300 and 99% i got the the rest right till i got here and it said this was what it was supposed to be.

jimthompson5910 (jim_thompson5910):

0.1/2 isn't 0.005 0.1/2 = 0.05

jimthompson5910 (jim_thompson5910):

oh is it a 99% CI?

OpenStudy (anonymous):

i know that but they said it was 0.005

jimthompson5910 (jim_thompson5910):

ok then it should be 0.01/2 = 0.005

OpenStudy (anonymous):

how?!

jimthompson5910 (jim_thompson5910):

because you have a significance level of alpha = 1 - 0.99 = 0.01 then you divide that in half to get the area in each tail

jimthompson5910 (jim_thompson5910):

btw it should be 2.576 not 2.575

jimthompson5910 (jim_thompson5910):

http://www.wolframalpha.com/input/?i=invnorm%280.995%29

OpenStudy (anonymous):

THIS IS SO CONFUSING! ok well it gave me a new problem so i'll try that.

jimthompson5910 (jim_thompson5910):

alright

OpenStudy (anonymous):

ok so this is the new problem

OpenStudy (anonymous):

i did p with this thing^ over it =x/n=60/300=0.2 am i right so far?

jimthompson5910 (jim_thompson5910):

yep

jimthompson5910 (jim_thompson5910):

btw p^ is sometimes called "p-hat"

OpenStudy (anonymous):

ok good so now i have np-hat(1-p-hat)>_10 =300(0.2)(1-0.2)>_10 =48>_10

jimthompson5910 (jim_thompson5910):

you can use p for short p-hat is definitely cumbersome

jimthompson5910 (jim_thompson5910):

but looks good to me

OpenStudy (anonymous):

yes it is lol & ok. so 48 is greater then 10 so a=0.1 right?

jimthompson5910 (jim_thompson5910):

correct, so a/2 = 0.05

OpenStudy (anonymous):

so i do 1-0.05 & get 0.95 which =1.645?

jimthompson5910 (jim_thompson5910):

good

OpenStudy (anonymous):

ok now i think i can do the rest cause that part was the part i get stuck on. one sec.

jimthompson5910 (jim_thompson5910):

alright

OpenStudy (anonymous):

YAY i got it!! dang that was a pain!

jimthompson5910 (jim_thompson5910):

that's great, well the harder they are, the more likely you'll remember them (and learn from it)

OpenStudy (anonymous):

thx! again for the millionth time.

jimthompson5910 (jim_thompson5910):

you're welcome

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