Question

You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.11. You would like to be 96% confident that your esimate is within 5% of the true population proportion. How large of a sample size is required?

Answer 1

large of a sample size is required=165

what is z value in statistics?

The Z-value is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation

Using the formula:

large of a sample size is required=(Z∝$I_{2}$/E)²* P(1-P)

According to the given data

E= margin of error= 5%=0.05

96% confident that your estimate is within 5% of the true population proportion,

Therefore, level of significance

∝=1-0.96

=0.04.

Z value for the 96% confident is 2.05, therefore, Z∝I2=2.05

Therefore, large of a sample size is required=(2.05/0.05)²* (0.11)(1-0.11)

=1681*0.0979

=164.5699

=165

Hence, large of a sample size is required=165

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https://brainly.com/question/17082604

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