Two studies were completed in california. one study in northern california involved 1,000 patients; 74% of them experienced flulike symptoms during the month of december. the other study, in southern california, involved 500 patients; 34% of them experienced flulike symptoms during the same month. which study has the smallest margin of error for a 98% confidence interval?

the northern california study with a margin of error of 3.2%.
the southern california study with a margin of error of 3.2%.
the northern california study with a margin of error of 4.9%.
the southern california study with a margin of error of 4.9%.

A. The northern California study with a margin of error of 3.2%.

Step-by-step explanation:

We know that,

Where,

M.E = margin of error,

= z score of the confidence interval,

for 98% confidence interval

p = proportion,

n = sample size.

One study in northern California involved 1,000 patients; 74% of them experienced flu like symptoms during the month of December.

Putting the values,

The other study, in southern California, involved 500 patients; 34% of them experienced flu like symptoms during the same month.

Putting the values,

The smallest margin of error is 3.2% of the northern California study.

i hope this is what you were looking for.

see attached graph