confidence interval calculation and z score The 2019 Stack Overflow Developer Survey Results Are InProbability about confidence intervalGeneral method to find exact confidence interval?Derive confidence interval given an empirical bootstrap distributionHelp following a published calculation of a prediction confidence interval for a prediction made from a simple ODEConfidence interval for varianceConfidence interval calculationConfidence interval for difference confidence levelMLE, Confidence Interval, and Asymptotic DistributionsFind a 90% confidence interval for the population varianceConfidence Interval and Central Limit Theorem
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confidence interval calculation and z score
The 2019 Stack Overflow Developer Survey Results Are InProbability about confidence intervalGeneral method to find exact confidence interval?Derive confidence interval given an empirical bootstrap distributionHelp following a published calculation of a prediction confidence interval for a prediction made from a simple ODEConfidence interval for varianceConfidence interval calculationConfidence interval for difference confidence levelMLE, Confidence Interval, and Asymptotic DistributionsFind a 90% confidence interval for the population varianceConfidence Interval and Central Limit Theorem
$begingroup$
I have these 2 examples:
and
in step 1 of solution, for the first one we have 1-0.9 but for the second one we just have 0.95
Why this happened?
statistics confidence-interval
New contributor
$endgroup$
add a comment |
$begingroup$
I have these 2 examples:
and
in step 1 of solution, for the first one we have 1-0.9 but for the second one we just have 0.95
Why this happened?
statistics confidence-interval
New contributor
$endgroup$
add a comment |
$begingroup$
I have these 2 examples:
and
in step 1 of solution, for the first one we have 1-0.9 but for the second one we just have 0.95
Why this happened?
statistics confidence-interval
New contributor
$endgroup$
I have these 2 examples:
and
in step 1 of solution, for the first one we have 1-0.9 but for the second one we just have 0.95
Why this happened?
statistics confidence-interval
statistics confidence-interval
New contributor
New contributor
edited Apr 8 at 1:41
gt6989b
35.8k22557
35.8k22557
New contributor
asked Apr 8 at 1:40
CFDCFD
82
82
New contributor
New contributor
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
They are referring to different z-tables.
The first uses $P(z>z_0)=frac1-0.92=0.05$, while the second uses $P(0<z<z_0)=frac0.952=0.475$.
For example, refer to the table:
$hspace5cm$
It is $P(0<z<1.96)=0.475$ and $P(z>1.96)=0.025$.
$endgroup$
$begingroup$
How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
$endgroup$
– CFD
Apr 8 at 3:23
$begingroup$
Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
$endgroup$
– farruhota
Apr 8 at 3:31
$begingroup$
Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
$endgroup$
– CFD
Apr 8 at 3:35
add a comment |
$begingroup$
The first is asking for a $90%$ confidence interval, the other for a $95%$ confidence interval.
$endgroup$
$begingroup$
Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
$endgroup$
– CFD
Apr 8 at 1:50
add a comment |
Your Answer
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2 Answers
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2 Answers
2
active
oldest
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active
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active
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votes
$begingroup$
They are referring to different z-tables.
The first uses $P(z>z_0)=frac1-0.92=0.05$, while the second uses $P(0<z<z_0)=frac0.952=0.475$.
For example, refer to the table:
$hspace5cm$
It is $P(0<z<1.96)=0.475$ and $P(z>1.96)=0.025$.
$endgroup$
$begingroup$
How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
$endgroup$
– CFD
Apr 8 at 3:23
$begingroup$
Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
$endgroup$
– farruhota
Apr 8 at 3:31
$begingroup$
Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
$endgroup$
– CFD
Apr 8 at 3:35
add a comment |
$begingroup$
They are referring to different z-tables.
The first uses $P(z>z_0)=frac1-0.92=0.05$, while the second uses $P(0<z<z_0)=frac0.952=0.475$.
For example, refer to the table:
$hspace5cm$
It is $P(0<z<1.96)=0.475$ and $P(z>1.96)=0.025$.
$endgroup$
$begingroup$
How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
$endgroup$
– CFD
Apr 8 at 3:23
$begingroup$
Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
$endgroup$
– farruhota
Apr 8 at 3:31
$begingroup$
Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
$endgroup$
– CFD
Apr 8 at 3:35
add a comment |
$begingroup$
They are referring to different z-tables.
The first uses $P(z>z_0)=frac1-0.92=0.05$, while the second uses $P(0<z<z_0)=frac0.952=0.475$.
For example, refer to the table:
$hspace5cm$
It is $P(0<z<1.96)=0.475$ and $P(z>1.96)=0.025$.
$endgroup$
They are referring to different z-tables.
The first uses $P(z>z_0)=frac1-0.92=0.05$, while the second uses $P(0<z<z_0)=frac0.952=0.475$.
For example, refer to the table:
$hspace5cm$
It is $P(0<z<1.96)=0.475$ and $P(z>1.96)=0.025$.
answered Apr 8 at 3:17
farruhotafarruhota
22k2942
22k2942
$begingroup$
How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
$endgroup$
– CFD
Apr 8 at 3:23
$begingroup$
Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
$endgroup$
– farruhota
Apr 8 at 3:31
$begingroup$
Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
$endgroup$
– CFD
Apr 8 at 3:35
add a comment |
$begingroup$
How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
$endgroup$
– CFD
Apr 8 at 3:23
$begingroup$
Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
$endgroup$
– farruhota
Apr 8 at 3:31
$begingroup$
Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
$endgroup$
– CFD
Apr 8 at 3:35
$begingroup$
How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
$endgroup$
– CFD
Apr 8 at 3:23
$begingroup$
How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
$endgroup$
– CFD
Apr 8 at 3:23
$begingroup$
Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
$endgroup$
– farruhota
Apr 8 at 3:31
$begingroup$
Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
$endgroup$
– farruhota
Apr 8 at 3:31
$begingroup$
Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
$endgroup$
– CFD
Apr 8 at 3:35
$begingroup$
Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
$endgroup$
– CFD
Apr 8 at 3:35
add a comment |
$begingroup$
The first is asking for a $90%$ confidence interval, the other for a $95%$ confidence interval.
$endgroup$
$begingroup$
Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
$endgroup$
– CFD
Apr 8 at 1:50
add a comment |
$begingroup$
The first is asking for a $90%$ confidence interval, the other for a $95%$ confidence interval.
$endgroup$
$begingroup$
Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
$endgroup$
– CFD
Apr 8 at 1:50
add a comment |
$begingroup$
The first is asking for a $90%$ confidence interval, the other for a $95%$ confidence interval.
$endgroup$
The first is asking for a $90%$ confidence interval, the other for a $95%$ confidence interval.
answered Apr 8 at 1:42
gt6989bgt6989b
35.8k22557
35.8k22557
$begingroup$
Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
$endgroup$
– CFD
Apr 8 at 1:50
add a comment |
$begingroup$
Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
$endgroup$
– CFD
Apr 8 at 1:50
$begingroup$
Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
$endgroup$
– CFD
Apr 8 at 1:50
$begingroup$
Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
$endgroup$
– CFD
Apr 8 at 1:50
add a comment |
CFD is a new contributor. Be nice, and check out our Code of Conduct.
CFD is a new contributor. Be nice, and check out our Code of Conduct.
CFD is a new contributor. Be nice, and check out our Code of Conduct.
CFD is a new contributor. Be nice, and check out our Code of Conduct.
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