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Social ScienceIf the sample size is increased and the standard deviation and confidence level stay the same, then the margin of error will also be increased.TrueFalse
If the sample size is increased and the standard deviation and confidence level stay the same, then the margin of error will also be increased.
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Expert Answer
Margin of error:
The margin of error helps in constructing confidence intervals, which gives a range of plausible values for the population parameter. Margin of error is nothing but a range of values above and below the value of sample statistic.
For example, the formula of margin of error for sample mean of z-test is given below.
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Margin of error z° where, z is the critical value of the test and is the standard deviation of the test
Properties of Margin of error:
Some of the properties of margin of error is as follows:
- The margin of error value gets smaller as n (sample size) tends to infinity.
- Higher the value of level of significance, higher the margin of error.
- Higher the standard...
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