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The size of the sample should be obtained at 2401 in order to be 95% confident
Given that:
Margi of error,
Population proportion,
To Find: The size of the sample that should be obtained in order to be 95% confident
Let the size of the sample be n
Using formula,
Therefore, the size of the sample should be obtained at 2401 in order to be 95% confident
Learn more about Population proportion here brainly.com/question/15703406
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Answer:
The correct option is d
Step-by-step explanation:
From the question we are told that
The population size is
The sample size is
The sample mean is
The standard deviation is
Given that the confidence level is 95% then the level of significance can be calculated as
Next we obtain the critical value of from z-table , the value is
The reason we are obtaining critical value of
instead of
is because
represents the area under the normal curve where the confidence level interval (
) did not cover which include both the left and right tail while
is just the area of one tail which what we required to calculate the margin of error
.
NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)
Generally the margin of error is mathematically represented as
substituting values
The 95% confidence level interval is mathematically represented as
substituting values