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Sagot :
The level of confidence as a would accompany each of the given intervals are a. 95%, b. 90%, c. 99%
what level of confidence?
Instead of being expressed as a percentage, the confidence level is expressed as a proportion using the confidence coefficient. For instance, the confidence coefficient would be. 99 if you had a confidence level of 99%. In general, the greater the coefficient, the more confident you can be in the accuracy of your findings.
What are the 3 common confidence level?
The most typical levels of confidence are 90%, 95%, and 99%. A summary of the values corresponding to these typical confidence levels can be seen in the following table. The "confidence coefficient" is simply the confidence level presented as a proportion .
for a:
Z1=a/2=1.96
1-a/2=0.975
a=0.05
so,
(1-a)x100
=95%
Hence, the level of confidence is 95%
for b:
Z1=a/2=1.645
1-a/2=0.95
a=10
so,
(1-a)x100
=90%
Hence, the level of confidence is 90%
for c:
Z1=a/2=2.576
1-a/2=0.995
a=0.01
so,
(1-a)x100
=99%
Hence, the level of confidence is 99%
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