Question
Find the standard error for sample proportions from a population with proportion p=0.70p=0.70 using three different sample sizes ofn=60n=60 , n=700n=700 , and n=3500n=3500 .
Find the standard error for sample proportions from a population with proportion p=0.70p=0.70 using three different sample sizes ofn=60n=60 , n=700n=700 , and n=3500n=3500 .
Make a conclusion about the effect of the increase in the sample size on the accuracy of using a sample proportion to estimate a population proportion.
SE=0.243SE=0.243 for n=60n=60 , SE=0.130SE=0.130 for n=700n=700 , SE=0.089SE=0.089 for n=3500n=3500 . We see that as the sample size goes up, the accuracy gets better.
SE=0.243SE=0.243 for n=60n=60 , SE=0.233SE=0.233 for n=700n=700 , SE=0.253SE=0.253 for n=3500n=3500 . We do not have enough data to make a conclusion.
SE=0.059SE=0.059 for n=60n=60 , SE=0.017SE=0.017 for n=700n=700 , SE=0.008SE=0.008 for n=3500n=3500 . We see that as the sample size goes up, the accuracy gets worse.
SE=0.059SE=0.059 for n=60n=60 , SE=0.017SE=0.017 for n=700n=700 , SE=0.008SE=0.008 for n=3500n=3500 . We see that as the sample size goes up, the accuracy gets better.
SE=0.243SE=0.243 for n=60n=60 , SE=0.130SE=0.130 for n=700n=700 , SE=0.089SE=0.089 for n=3500n=3500 . We see that as the sample size goes up, the accuracy gets worse.
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