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%.
@DanJS
@Hero
@Loser66
Loser I dont get this that much
@vera_ewing
I think its southern california
Just write something and I will give you a medal @Loser66
What ever you want
hehhehe... I don't want medal, just interesting on the field I never know before. Here is the answer: the first one.
I made a short research about it. I learn how to find the answer out, not guess!
Help me though
if the confidence is 98% , then z =2.33 for the NOrth one the sample is 74%*1000= 740 hence p = 740/1000=0.74
Apply the formula margin error = \(z*\sqrt{\dfrac{p(1-p)}{population}}=2.33*\sqrt\dfrac{0.74(1-0.74}{1000}\ )
=3.23% the net is so bad.
Thanks
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