Explain how you know the quotients 540÷90 and 5,400 ÷ 900 are equal without doing any computation..
2 answers:
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Answer:
The 99% confidence interval has the higher value of z, so it has the largest margin of error
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
So the higher the value of Z, the higher the margin of error.
90% confidence level
So , z is the value of Z that has a pvalue of
, so
.
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
99% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The 99% confidence interval has the higher value of z, so it has the largest margin of error