Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what proportion of 500 ml bottles are underfilled. She wants the margin of error to be no more than 4% at 90% confidence. What is the smallest sample size required to obtain the desired margin of error? a) 271
b) 423
c) 651
d) 888

Sample size is

Step-by-step explanation:

Given that,

Margin of error %

Confidence level %

Suppose, sample proportion

        i.e.

We know that,

     Margin of error

 ∴

squaring on both side,

∴

Hence, the sample size is,

Hence, the correct option is

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction