Determine the corresponding p-value.
$begingroup$
From a collection of objects (tanks for instance), that are numbered $1$ till $K$, $20$ objects are taken.
After noting the number, the object is put back.
We are testing $H_{0}: K= 100000$ against $H_{1}: K <100000$, while using the highest number we took M as our test statistic.
We find that our realization of $M$ is equal to $81115$.
Determine the corresponding p-value.
I have no idea how to calculate the p-value of this exercise, which distribution should I use? Can someone help me? Thanks!
statistics
asked Jan 8 at 14:04
Fabio TaccalitiFabio Taccaliti
847
$endgroup$
|
show 5 more comments
$begingroup$
From a collection of objects (tanks for instance), that are numbered $1$ till $K$, $20$ objects are taken.
After noting the number, the object is put back.
We are testing $H_{0}: K= 100000$ against $H_{1}: K <100000$, while using the highest number we took M as our test statistic.
We find that our realization of $M$ is equal to $81115$.
Determine the corresponding p-value.
I have no idea how to calculate the p-value of this exercise, which distribution should I use? Can someone help me? Thanks!
statistics
asked Jan 8 at 14:04
Fabio TaccalitiFabio Taccaliti
847
$endgroup$
1
$begingroup$
What is the distribution of the number of one object under $H_0$?
$endgroup$
– Stockfish
Jan 8 at 14:31
1
$begingroup$
What are the possible results for the number? What are possible results for a Bernoulli distributed random variable?
$endgroup$
– Stockfish
Jan 8 at 17:00
1
$begingroup$
A Bernoulli distributed random variable takes the values $0$ and $1$. The number of one object takes values in ${ 1, dots, 100000 }$.
$endgroup$
– Stockfish
Jan 9 at 10:06
1
$begingroup$
It has nothing to do with Bernoulli. The number is distributed uniformly on ${1, dots, 100000 }$, i.e. each value in this set is attained with probability $1/100000$.
$endgroup$
– Stockfish
Jan 9 at 13:36
1
$begingroup$
Have you read about the uniform distribution yet?!
$endgroup$
– Stockfish
Jan 9 at 13:55
|
show 5 more comments
$begingroup$
From a collection of objects (tanks for instance), that are numbered $1$ till $K$, $20$ objects are taken.
After noting the number, the object is put back.
We are testing $H_{0}: K= 100000$ against $H_{1}: K <100000$, while using the highest number we took M as our test statistic.
We find that our realization of $M$ is equal to $81115$.
Determine the corresponding p-value.
I have no idea how to calculate the p-value of this exercise, which distribution should I use? Can someone help me? Thanks!
statistics
asked Jan 8 at 14:04
Fabio TaccalitiFabio Taccaliti
847
$endgroup$
From a collection of objects (tanks for instance), that are numbered $1$ till $K$, $20$ objects are taken.
After noting the number, the object is put back.
We are testing $H_{0}: K= 100000$ against $H_{1}: K <100000$, while using the highest number we took M as our test statistic.
We find that our realization of $M$ is equal to $81115$.
Determine the corresponding p-value.
I have no idea how to calculate the p-value of this exercise, which distribution should I use? Can someone help me? Thanks!
statistics
statistics
asked Jan 8 at 14:04
Fabio TaccalitiFabio Taccaliti
847
asked Jan 8 at 14:04
Fabio TaccalitiFabio Taccaliti
847
asked Jan 8 at 14:04
Fabio TaccalitiFabio Taccaliti
847
asked Jan 8 at 14:04
Fabio TaccalitiFabio Taccaliti
847
asked Jan 8 at 14:04
Fabio TaccalitiFabio Taccaliti
847
847
1
$begingroup$
What is the distribution of the number of one object under $H_0$?
$endgroup$
– Stockfish
Jan 8 at 14:31
1
$begingroup$
What are the possible results for the number? What are possible results for a Bernoulli distributed random variable?
$endgroup$
– Stockfish
Jan 8 at 17:00
1
$begingroup$
A Bernoulli distributed random variable takes the values $0$ and $1$. The number of one object takes values in ${ 1, dots, 100000 }$.
$endgroup$
– Stockfish
Jan 9 at 10:06
1
$begingroup$
It has nothing to do with Bernoulli. The number is distributed uniformly on ${1, dots, 100000 }$, i.e. each value in this set is attained with probability $1/100000$.
$endgroup$
– Stockfish
Jan 9 at 13:36
1
$begingroup$
Have you read about the uniform distribution yet?!
$endgroup$
– Stockfish
Jan 9 at 13:55
|
show 5 more comments
1
$begingroup$
What is the distribution of the number of one object under $H_0$?
$endgroup$
– Stockfish
Jan 8 at 14:31
1
$begingroup$
What are the possible results for the number? What are possible results for a Bernoulli distributed random variable?
$endgroup$
– Stockfish
Jan 8 at 17:00
1
$begingroup$
A Bernoulli distributed random variable takes the values $0$ and $1$. The number of one object takes values in ${ 1, dots, 100000 }$.
$endgroup$
– Stockfish
Jan 9 at 10:06
1
$begingroup$
It has nothing to do with Bernoulli. The number is distributed uniformly on ${1, dots, 100000 }$, i.e. each value in this set is attained with probability $1/100000$.
$endgroup$
– Stockfish
Jan 9 at 13:36
1
$begingroup$
Have you read about the uniform distribution yet?!
$endgroup$
– Stockfish
Jan 9 at 13:55
1
1
$begingroup$
What is the distribution of the number of one object under $H_0$?
$endgroup$
– Stockfish
Jan 8 at 14:31
$begingroup$
What is the distribution of the number of one object under $H_0$?
$endgroup$
– Stockfish
Jan 8 at 14:31
1
1
$begingroup$
What are the possible results for the number? What are possible results for a Bernoulli distributed random variable?
$endgroup$
– Stockfish
Jan 8 at 17:00
$begingroup$
What are the possible results for the number? What are possible results for a Bernoulli distributed random variable?
$endgroup$
– Stockfish
Jan 8 at 17:00
1
1
$begingroup$
A Bernoulli distributed random variable takes the values $0$ and $1$. The number of one object takes values in ${ 1, dots, 100000 }$.
$endgroup$
– Stockfish
Jan 9 at 10:06
$begingroup$
A Bernoulli distributed random variable takes the values $0$ and $1$. The number of one object takes values in ${ 1, dots, 100000 }$.
$endgroup$
– Stockfish
Jan 9 at 10:06
1
1
$begingroup$
It has nothing to do with Bernoulli. The number is distributed uniformly on ${1, dots, 100000 }$, i.e. each value in this set is attained with probability $1/100000$.
$endgroup$
– Stockfish
Jan 9 at 13:36
$begingroup$
It has nothing to do with Bernoulli. The number is distributed uniformly on ${1, dots, 100000 }$, i.e. each value in this set is attained with probability $1/100000$.
$endgroup$
– Stockfish
Jan 9 at 13:36
1
1
$begingroup$
Have you read about the uniform distribution yet?!
$endgroup$
– Stockfish
Jan 9 at 13:55
$begingroup$
Have you read about the uniform distribution yet?!
$endgroup$
– Stockfish
Jan 9 at 13:55
|
show 5 more comments
0
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1
$begingroup$
What is the distribution of the number of one object under $H_0$?
$endgroup$
– Stockfish
Jan 8 at 14:31
1
$begingroup$
What are the possible results for the number? What are possible results for a Bernoulli distributed random variable?
$endgroup$
– Stockfish
Jan 8 at 17:00
1
$begingroup$
A Bernoulli distributed random variable takes the values $0$ and $1$. The number of one object takes values in ${ 1, dots, 100000 }$.
$endgroup$
– Stockfish
Jan 9 at 10:06
1
$begingroup$
It has nothing to do with Bernoulli. The number is distributed uniformly on ${1, dots, 100000 }$, i.e. each value in this set is attained with probability $1/100000$.
$endgroup$
– Stockfish
Jan 9 at 13:36
1
$begingroup$
Have you read about the uniform distribution yet?!
$endgroup$
– Stockfish
Jan 9 at 13:55