Assuming that all necessary conditions are met,what needs to be changed in the formula so that we can use it to construct a (1 − α)confidence interval estimate for the population proportion p? A) should be replaced by p. B)tα should be replaced by zα. C)tα should be replaced by tα_{/ 2}. D)tα should be replaced by zα_{/ 2}.

Question

Quizplus · Accepted Answer

To construct a confidence interval estimate for the population proportion p, we need to replace tα in the formula with zα, since we use the z-distribution for proportions. Additionally, we need to replace 11ea78b9_2e2a_7a1e_8379_13d7f239880b_TB4388_11 with p, which represents the sample proportion. Therefore, the formula becomes:

p ± zα * √(p(1-p)/n)

where zα is the z-score corresponding to the desired level of confidence (usually found using a standard normal distribution table or calculator). Option D provides the correct replacement for tα in the formula.

Assuming That All Necessary Conditions Are Met,what Needs to Be