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Answer:
D) The z-statistics would be different.
Step-by-step explanation:
Confidence Interval can be calculated using M±ME where
- M is the sample mean
- ME is the margin of error from the mean
An margin of error (ME) from the mean can be calculated using the formula
ME= where
- z is the corresponding z-statistic in the given confidence level
- s is the population standard deviation
- N is the sample size
If 95% and 98% confidence intervals were calculated from the same sample data, then M, s and N are same.
is called standard error. Since s and N are same the standard errors would also be same.
But, two tailed z-statistic for 95% confidence level is ≈1.96 where for 98% it is ≈2.33