The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal. If we wanted to limit the margin of error of a 95% con dence interval to 2%, about how many Americans would we need to survey?

we need to survey 2285 Americans.

Step-by-step explanation:

When population proportion (p) is known, then the formula to evaluate the sample size( minimum) is given by :-

, where E = margin of error , z* = critical z-value.

Given: p= 0.61, E=0.02, Critical z value for 95% = 1.96

Required sample size:

Hence, we need to survey 2285 Americans.

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