If Netflix would like to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and tv shows. The number of subscribers they must sample to obtain this interval is: b) 385.
Using this formula to find the number of subscribers they must sample to obtain this interval
n≥ (zσ/2 ÷ 2ME)²
Where:
n= Sample =?
zσ = Z-score for 95% confidence interval = 1.96
ME = margin of error = 0.05
Let plug in the formula
n≥ [1.96 / 2(0.05)]²
n≥ [1.96 / 0.1]²
= (19.6)²
= 384.16
=385 (Rounded)
Therefore the correct option is B.
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The complete question is:
Netflix would like to estimate the proportion of their current subscribers who would pay
extra for a premium membership including access to more movies and TV shows. To do
this, they plan to calculate a 95% confidence interval to estimate the proportion. They
would like a margin of error of .05. How many subscribers must they sample to obtain this
interval?
a) 1537
b) 385
c) 192
d) 10
