Solution verification on a difference of proportions exercise











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A company prints stickers and sells them in packs of $100$ units, ensuring that on average $30$% of the stickers are type $A$, $60$% are type $B$ and $10$% are type $C$. If a package selected at random contains $50$ stickers of type $A$, $45$ of type $B$ and $5$ of type $C$, do these proportions match those given by the company at the level $alpha = 0.005$?




I've tryed used the Goodnes of Fit with this table:



$begin{array}{|c|c|c|c|}
hline
type& OBSERVED & EXPECTED \ hline
A&50 & 30\ hline
B& 45 & 60\ hline
C& 5 &10 \ hline
end{array}$



$tilde{chi}^2=19.583$



My $p$-value is $0.000056$ then the proportions don't match.



I formulated the solution to the exercise well?










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  • This is exactly how you do it (assuming you computed the summ correctly).
    – Sean Roberson
    Nov 26 at 5:58















up vote
0
down vote

favorite













A company prints stickers and sells them in packs of $100$ units, ensuring that on average $30$% of the stickers are type $A$, $60$% are type $B$ and $10$% are type $C$. If a package selected at random contains $50$ stickers of type $A$, $45$ of type $B$ and $5$ of type $C$, do these proportions match those given by the company at the level $alpha = 0.005$?




I've tryed used the Goodnes of Fit with this table:



$begin{array}{|c|c|c|c|}
hline
type& OBSERVED & EXPECTED \ hline
A&50 & 30\ hline
B& 45 & 60\ hline
C& 5 &10 \ hline
end{array}$



$tilde{chi}^2=19.583$



My $p$-value is $0.000056$ then the proportions don't match.



I formulated the solution to the exercise well?










share|cite|improve this question






















  • This is exactly how you do it (assuming you computed the summ correctly).
    – Sean Roberson
    Nov 26 at 5:58













up vote
0
down vote

favorite









up vote
0
down vote

favorite












A company prints stickers and sells them in packs of $100$ units, ensuring that on average $30$% of the stickers are type $A$, $60$% are type $B$ and $10$% are type $C$. If a package selected at random contains $50$ stickers of type $A$, $45$ of type $B$ and $5$ of type $C$, do these proportions match those given by the company at the level $alpha = 0.005$?




I've tryed used the Goodnes of Fit with this table:



$begin{array}{|c|c|c|c|}
hline
type& OBSERVED & EXPECTED \ hline
A&50 & 30\ hline
B& 45 & 60\ hline
C& 5 &10 \ hline
end{array}$



$tilde{chi}^2=19.583$



My $p$-value is $0.000056$ then the proportions don't match.



I formulated the solution to the exercise well?










share|cite|improve this question














A company prints stickers and sells them in packs of $100$ units, ensuring that on average $30$% of the stickers are type $A$, $60$% are type $B$ and $10$% are type $C$. If a package selected at random contains $50$ stickers of type $A$, $45$ of type $B$ and $5$ of type $C$, do these proportions match those given by the company at the level $alpha = 0.005$?




I've tryed used the Goodnes of Fit with this table:



$begin{array}{|c|c|c|c|}
hline
type& OBSERVED & EXPECTED \ hline
A&50 & 30\ hline
B& 45 & 60\ hline
C& 5 &10 \ hline
end{array}$



$tilde{chi}^2=19.583$



My $p$-value is $0.000056$ then the proportions don't match.



I formulated the solution to the exercise well?







statistics proof-verification






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asked Nov 26 at 5:45









testpilot

585214




585214












  • This is exactly how you do it (assuming you computed the summ correctly).
    – Sean Roberson
    Nov 26 at 5:58


















  • This is exactly how you do it (assuming you computed the summ correctly).
    – Sean Roberson
    Nov 26 at 5:58
















This is exactly how you do it (assuming you computed the summ correctly).
– Sean Roberson
Nov 26 at 5:58




This is exactly how you do it (assuming you computed the summ correctly).
– Sean Roberson
Nov 26 at 5:58















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