The margin of error for the 90% confidence interval with a probability of success of 0.546 is 0.0183.
What is the margin of error?
The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
Jamie is an analyst at an education technology company. She gathered data on the results of a certain type of question. Of the 2,000 responses she looked at, 1,092 responded correctly.
Then the value of p will be
[tex]\rm p = \dfrac{1092}{2000}\\\\p = 0.546[/tex]
And the z-value for the 90% confidence interval will be
[tex]\rm z = 1.645[/tex]
And N = 2000
Then the margin of error (ME) will be
[tex]ME = z \times \sqrt{\dfrac{p(1-p)}{N}}\\\\ME = 1.645\times \sqrt{\dfrac{0.546(1-0.546)}{2000}}\\\\ME = 0.0183[/tex]
More about the margin of error link is given below.
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