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A confidence interval for the population proportion is calculated using the formula p ± z √p(1−p)/n. Match the variables to their description.

a.p- the sample proportion
b.z- the value associated with the confidence level
c.n- the sample size
d.Pie- the population proportion that is being estimated.

User LRLucena
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1 Answer

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Final answer:

In the confidence interval formula, 'p' is the sample proportion, 'z' is the z-value for the confidence level, 'n' is the sample size, and 'Pie' (implied as 'p' in the actual formula) represents the population proportion being estimated.

Step-by-step explanation:

The formula p ± z \sqrt{p(1-p)/n} is used to calculate a confidence interval for the population proportion. Here, each variable has a specific meaning:

  • p represents the sample proportion, which is the proportion of successes in our sample.
  • z corresponds to the z-value associated with the confidence level; this value is found from the standard normal distribution.
  • n indicates the sample size, which is the total number of observations in our sample.
  • Pie (π) is the population proportion that we are trying to estimate.

In conclusion, a matches with 'the sample proportion', b with 'the value associated with the confidence level', c with 'the sample size', and d (although represented as Pie in the question) with 'the population proportion that is being estimated'.

User Murali Rao
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